Problem
Problem of the Day #88
POTD March 6, 2024
Let there be real a, b, c, d, such that ac = bd = \frac{9}{4}, and a + b + c + d = 6. Find the minimum value of \frac{a}{c} + \frac{b}{d} + \frac{c}{a} + \frac{d}{b}.
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