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Finding the Fourth Proportional to 6,149.41, 9,217.15 and 5,407.59

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Solution

The fourth proportional to 6,149.41, 9,217.15 and 5,407.59 is: 8,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.41 : 9,217.15 = 5,407.59 : x
  2. Step 2: Convert to fraction form
    6,149.41/9,217.15 = 5,407.59/x
  3. Step 3: Cross multiply
    6,149.41x = 9,217.15 × 5,407.59
  4. Step 4: Simplify right side
    6,149.41x = 49,842,568.17
  5. Step 5: Solve for x
    x = 49,842,568.17/6,149.41
  6. Step 6: Final answer
    x = 8,105.26

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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.