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Finding the Fourth Proportional to 9,083.28, 13,617.68 and 8,354.32

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Solution

The fourth proportional to 9,083.28, 13,617.68 and 8,354.32 is: 12,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.28 : 13,617.68 = 8,354.32 : x
  2. Step 2: Convert to fraction form
    9,083.28/13,617.68 = 8,354.32/x
  3. Step 3: Cross multiply
    9,083.28x = 13,617.68 × 8,354.32
  4. Step 4: Simplify right side
    9,083.28x = 113,766,456.38
  5. Step 5: Solve for x
    x = 113,766,456.38/9,083.28
  6. Step 6: Final answer
    x = 12,524.82

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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.