Final answer:
To solve the equation 4/x=7/9, multiply both sides by the denominators and then isolate x. The rounded answer is 5.1.
Step-by-step explanation:
To solve the equation 4/x=7/9, we need to cross multiply. This means multiplying the numerator of the first fraction by the denominator of the second fraction, and vice versa. So, 4 multiplied by 9 equals 36, and x multiplied by 7 equals 7x.
Now, we have the equation 36 = 7x. To isolate x, we divide both sides of the equation by 7. This gives us x = 36/7.
Rounding to the nearest tenth, we divide 36 by 7, which gives us approximately 5.143. Rounded to the nearest tenth, the answer is 5.1.