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Finding the Fourth Proportional to 9,732.29, 13,402.27 and 8,455.58

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Solution

The fourth proportional to 9,732.29, 13,402.27 and 8,455.58 is: 11,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.29 : 13,402.27 = 8,455.58 : x
  2. Step 2: Convert to fraction form
    9,732.29/13,402.27 = 8,455.58/x
  3. Step 3: Cross multiply
    9,732.29x = 13,402.27 × 8,455.58
  4. Step 4: Simplify right side
    9,732.29x = 113,323,966.17
  5. Step 5: Solve for x
    x = 113,323,966.17/9,732.29
  6. Step 6: Final answer
    x = 11,644.12

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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.