just do the same as you did on previous ones
\(\frac{3x}{2x}=\frac{PY}{x}=\frac{YG}{2x}=\frac{HG}{3x}=\frac{AN}{x} \\ \frac{AN=PY}{x}= \frac{3x}{2x} \text{ (multiply both sides by x )}\\ AN=PY=\frac{3x}{2}=1.5x\\ \frac{YG}{2x}=\frac{3x}{2x}\\ YG=3x \\ \frac{3x}{2x}=\frac{HG}{3x} \text{ (multiply both sides by 3x)} \\ HG=4.5x\)
the 8 th one same rule