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Finding the Fourth Proportional to 6,098.86, 9,149.56 and 3,467.57

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Solution

The fourth proportional to 6,098.86, 9,149.56 and 3,467.57 is: 5,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.86 : 9,149.56 = 3,467.57 : x
  2. Step 2: Convert to fraction form
    6,098.86/9,149.56 = 3,467.57/x
  3. Step 3: Cross multiply
    6,098.86x = 9,149.56 × 3,467.57
  4. Step 4: Simplify right side
    6,098.86x = 31,726,753.97
  5. Step 5: Solve for x
    x = 31,726,753.97/6,098.86
  6. Step 6: Final answer
    x = 5,202.08

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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.