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Finding the Fourth Proportional to 7,052.68, 9,732.82 and 3,865.92

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Solution

The fourth proportional to 7,052.68, 9,732.82 and 3,865.92 is: 5,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.68 : 9,732.82 = 3,865.92 : x
  2. Step 2: Convert to fraction form
    7,052.68/9,732.82 = 3,865.92/x
  3. Step 3: Cross multiply
    7,052.68x = 9,732.82 × 3,865.92
  4. Step 4: Simplify right side
    7,052.68x = 37,626,303.49
  5. Step 5: Solve for x
    x = 37,626,303.49/7,052.68
  6. Step 6: Final answer
    x = 5,335.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.