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Finding the Fourth Proportional to 9,032.58, 12,464.28 and 5,052.96

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Solution

The fourth proportional to 9,032.58, 12,464.28 and 5,052.96 is: 6,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.58 : 12,464.28 = 5,052.96 : x
  2. Step 2: Convert to fraction form
    9,032.58/12,464.28 = 5,052.96/x
  3. Step 3: Cross multiply
    9,032.58x = 12,464.28 × 5,052.96
  4. Step 4: Simplify right side
    9,032.58x = 62,981,508.27
  5. Step 5: Solve for x
    x = 62,981,508.27/9,032.58
  6. Step 6: Final answer
    x = 6,972.70

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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.