Question

If$\frac{4}{y}=\frac{7}{9},$then$?=?$ and$y=?$

Short answer

The final answer is$7y=36$, and$y=\frac{36}{7}$ .

Step-by-step solution

Step 1. Given information.

The given proportion is,

$\frac{4}{y}=\frac{7}{9}$

Step 2. Apply mean extremes property. 

Product of means is equal to product of extremes.

It is given that$\frac{4}{y}=\frac{7}{9}$,

So,

$7y=36$

Step 3. Now, divide through-out by 7.

$y=\frac{36}{7}$

Therefore, the final answer is,$7y=36$ and$y=\frac{36}{7}$ .