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Finding the Fourth Proportional to 9,092.97, 13,640.31 and 3,546.77

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Solution

The fourth proportional to 9,092.97, 13,640.31 and 3,546.77 is: 5,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.97 : 13,640.31 = 3,546.77 : x
  2. Step 2: Convert to fraction form
    9,092.97/13,640.31 = 3,546.77/x
  3. Step 3: Cross multiply
    9,092.97x = 13,640.31 × 3,546.77
  4. Step 4: Simplify right side
    9,092.97x = 48,378,974.10
  5. Step 5: Solve for x
    x = 48,378,974.10/9,092.97
  6. Step 6: Final answer
    x = 5,320.48

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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.