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Finding the Fourth Proportional to 6,147.32, 9,205.85 and 3,508.31

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Solution

The fourth proportional to 6,147.32, 9,205.85 and 3,508.31 is: 5,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.32 : 9,205.85 = 3,508.31 : x
  2. Step 2: Convert to fraction form
    6,147.32/9,205.85 = 3,508.31/x
  3. Step 3: Cross multiply
    6,147.32x = 9,205.85 × 3,508.31
  4. Step 4: Simplify right side
    6,147.32x = 32,296,975.61
  5. Step 5: Solve for x
    x = 32,296,975.61/6,147.32
  6. Step 6: Final answer
    x = 5,253.83

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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.