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Finding the Fourth Proportional to 9,732.52, 14,600.84 and 3,158.20

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Solution

The fourth proportional to 9,732.52, 14,600.84 and 3,158.20 is: 4,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.52 : 14,600.84 = 3,158.20 : x
  2. Step 2: Convert to fraction form
    9,732.52/14,600.84 = 3,158.20/x
  3. Step 3: Cross multiply
    9,732.52x = 14,600.84 × 3,158.20
  4. Step 4: Simplify right side
    9,732.52x = 46,112,293.22
  5. Step 5: Solve for x
    x = 46,112,293.22/9,732.52
  6. Step 6: Final answer
    x = 4,737.96

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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.