Final answer:
To solve the proportion 9/2 = 36/b, you cross-multiply and divide to isolate b, resulting in b = 72/9, which simplifies to b = 8. Therefore, the answer is b. 8.
Step-by-step explanation:
To solve the proportion 9/2 = 36/b, we can cross-multiply to find the value of b. This means we take the numerator of one ratio and multiply it by the denominator of the other ratio, and do the same with the remaining numerator and denominator:
9 * b = 2 * 36
Now we simplify the right side of the equation:
9b = 72
Next, we divide both sides of the equation by 9 to isolate b:
b = 72/9
Finally, we calculate the value of b:
b = 8
So, the solution to the proportion 9/2 = 36/b is b = 8.
To solve the proportion 9/2 = 36/b, we can cross multiply to solve for b. Multiply 9 by b and 2 by 36: 9b = 72. Divide both sides of the equation by 9 to solve for b: b = 8. Therefore, the answer is b. 8.