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Finding the Fourth Proportional to 9,910.92, 13,677.49 and 5,434.85

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Solution

The fourth proportional to 9,910.92, 13,677.49 and 5,434.85 is: 7,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.92 : 13,677.49 = 5,434.85 : x
  2. Step 2: Convert to fraction form
    9,910.92/13,677.49 = 5,434.85/x
  3. Step 3: Cross multiply
    9,910.92x = 13,677.49 × 5,434.85
  4. Step 4: Simplify right side
    9,910.92x = 74,335,024.55
  5. Step 5: Solve for x
    x = 74,335,024.55/9,910.92
  6. Step 6: Final answer
    x = 7,500.32

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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.