We are given the equation $\frac{m^2}{4} = 9$ and need to solve for $m$.

1. Problem Description

We are given the equation $\frac{m^2}{4} = 9$ and need to solve for $m$.

2. Solution Steps

To solve for $m$, we first multiply both sides of the equation by 4:

$$\frac{m^2}{4} \cdot 4 = 9 \cdot 4$$

$$m^2 = 36$$

Now, we take the square root of both sides:

$$\sqrt{m^2} = \sqrt{36}$$

$$m = \pm 6$$

3. Final Answer

The solutions are $m = 6$ and $m = -6$.