Вопрос:

Solve the following proportions:

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Ответ:

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
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