Answer:
A, C and D
Explanation:
Given
![Ratio = 4:3](https://img.qammunity.org/2021/formulas/mathematics/high-school/4cthwwkx92t7tmbu5thc3vi3q2wjrp6thp.png)
Required
Determine equivalent ratio
A.
![8 : 6](https://img.qammunity.org/2021/formulas/mathematics/high-school/ozg3ltk74qsocksuqsc4zceyectphqjec5.png)
Divide by 2
![8/2 : 6/2](https://img.qammunity.org/2021/formulas/mathematics/high-school/dxultnnpncyx9p0vlwzri71c5do9mb5wnk.png)
![4 : 3](https://img.qammunity.org/2021/formulas/mathematics/high-school/inl6whcwolutxd6qn9lpfdu5wcpvx0nb7y.png)
Hence:
This is equivalent to the given ratio
B.
![9:12](https://img.qammunity.org/2021/formulas/mathematics/high-school/sgbvsfshq37uxbebchfq7840izaz8qn7h9.png)
Divide by 3
![9/3:12/3](https://img.qammunity.org/2021/formulas/mathematics/high-school/i5xteiqx2r9l29piv29k19g38qmq6jya4s.png)
![3:4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ft62lcmr63zoc19cniud3fi5kblfgib4km.png)
Hence:
This is not equivalent to the given ratio
C.
![20:15](https://img.qammunity.org/2021/formulas/mathematics/high-school/rspnjezjmmyeu4syfgwkykh5g7a0drnxxo.png)
Divide by 5
![20/5:15/5](https://img.qammunity.org/2021/formulas/mathematics/high-school/uz6kchrppbh4armzqfrhska6rrr8hgc4dr.png)
![4 : 3](https://img.qammunity.org/2021/formulas/mathematics/high-school/inl6whcwolutxd6qn9lpfdu5wcpvx0nb7y.png)
Hence:
This is equivalent to the given ratio
D.
![32:24](https://img.qammunity.org/2021/formulas/mathematics/college/p1fvz5zg4bijyy8etvmoj92v12f5bth30r.png)
Divide by 8
![32/8:24/8](https://img.qammunity.org/2021/formulas/mathematics/high-school/epxsansit6kybqxwhyw9me4z25ujaccj65.png)
![4:3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/a5srab4q2qiufeurd0ayywdsv8v7jp65us.png)
Hence:
This is equivalent to the given ratio
There's no need to check for other options because A, C and D answer the question