Question

Use equivalent ratios to solve the proportion.

$\frac{11}{9}=\frac{y}{81}$

Short answer

The solution is $y=99$.

Step-by-step solution

Step 1.  Given

The given proportion is$\frac{11}{9}=\frac{y}{81}.$

Step 2.  To determine

We have to solve the proportion using equivalent ratios.

Step 3.  Calculation 

Solve the given proportion.

$\begin{array}{c}\frac{11}{9}=\frac{y}{81}\\ \frac{11}{9\times 9}=\frac{y}{81}\left[\text{comparedenominators}\right]\\ \frac{11\times 9}{81}=\frac{y}{81}\left[\text{find}y\right]\\ y=11\times 9\\ =99\end{array}$

So, the solution is $y=99$.