Okay, let's solve these proportions step by step.
1) $$\frac{x}{9} = \frac{12}{36}$$
To solve for *x*, we can cross-multiply:
$$36 * x = 12 * 9$$
$$36x = 108$$
Now, divide both sides by 36:
$$x = \frac{108}{36}$$
$$x = 3$$
Answer: x = 3
2) $$\frac{14}{16} = \frac{x}{64}$$
Cross-multiply:
$$16 * x = 14 * 64$$
$$16x = 896$$
Divide both sides by 16:
$$x = \frac{896}{16}$$
$$x = 56$$
Answer: x = 56
3) $$\frac{23}{x} = \frac{69}{105}$$
Cross-multiply:
$$69 * x = 23 * 105$$
$$69x = 2415$$
Divide both sides by 69:
$$x = \frac{2415}{69}$$
$$x = 35$$
Answer: x = 35
4) $$\frac{27}{47} = \frac{54}{x}$$
Cross-multiply:
$$27 * x = 54 * 47$$
$$27x = 2538$$
Divide both sides by 27:
$$x = \frac{2538}{27}$$
$$x = 94$$
Answer: x = 94