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Finding the Fourth Proportional to 9,275.68, 13,894.97 and 5,575.88

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Solution

The fourth proportional to 9,275.68, 13,894.97 and 5,575.88 is: 8,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.68 : 13,894.97 = 5,575.88 : x
  2. Step 2: Convert to fraction form
    9,275.68/13,894.97 = 5,575.88/x
  3. Step 3: Cross multiply
    9,275.68x = 13,894.97 × 5,575.88
  4. Step 4: Simplify right side
    9,275.68x = 77,476,685.32
  5. Step 5: Solve for x
    x = 77,476,685.32/9,275.68
  6. Step 6: Final answer
    x = 8,352.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.