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Finding the Fourth Proportional to 6,761.31, 9,332.16 and 4,108.14

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Solution

The fourth proportional to 6,761.31, 9,332.16 and 4,108.14 is: 5,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.31 : 9,332.16 = 4,108.14 : x
  2. Step 2: Convert to fraction form
    6,761.31/9,332.16 = 4,108.14/x
  3. Step 3: Cross multiply
    6,761.31x = 9,332.16 × 4,108.14
  4. Step 4: Simplify right side
    6,761.31x = 38,337,819.78
  5. Step 5: Solve for x
    x = 38,337,819.78/6,761.31
  6. Step 6: Final answer
    x = 5,670.18

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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.