To solve the equation \( \frac{45}{x} = \frac{18}{9.4} \cdot 2 \), we can start by calculating the right side.
First, let's simplify \( \frac{18}{9.4} \):
Calculate \( \frac{18}{9.4} \): \[ \frac{18}{9.4} \approx 1.915 \]
Now, multiply that by 2: \[ 1.915 \times 2 \approx 3.83 \]
Now we have the equation: \[ \frac{45}{x} = 3.83 \]
To find \( x \), we can cross-multiply: \[ 45 = 3.83x \]
Now, isolate \( x \) by dividing both sides by 3.83: \[ x = \frac{45}{3.83} \]
Calculating that gives: \[ x \approx 11.75 \]
So, the solution for \( x \) is approximately \( 11.75 \).