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Finding the Fourth Proportional to 9,787.57, 13,503.31 and 6,432.21

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Solution

The fourth proportional to 9,787.57, 13,503.31 and 6,432.21 is: 8,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.57 : 13,503.31 = 6,432.21 : x
  2. Step 2: Convert to fraction form
    9,787.57/13,503.31 = 6,432.21/x
  3. Step 3: Cross multiply
    9,787.57x = 13,503.31 × 6,432.21
  4. Step 4: Simplify right side
    9,787.57x = 86,856,109.53
  5. Step 5: Solve for x
    x = 86,856,109.53/9,787.57
  6. Step 6: Final answer
    x = 8,874.13

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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.