Question

Use algebra to solve the proportion.

$\frac{x}{9}=\frac{42}{54}$

Short answer

The solution is$x=7$ .

Step-by-step solution

Step-1 – Given

The given proportion is$\frac{x}{9}=\frac{42}{54}$ .

Step-2 – To determine

We have to solve the proportion by using algebra.

Step-3 – Calculation 

Solve the given proportion.

$\begin{array}{c}\frac{x}{9}=\frac{42}{54}\\ \frac{x}{9}\cdot 9=\frac{42}{54}\cdot 9\left[\text{multiplyeachsideby9}\right]\\ x=\frac{378}{54}\left[\text{simplify}\right]\\ x=7\left[\text{divide}\right]\end{array}$

So, the solution is $x=7$.