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Finding the Fourth Proportional to 6,107.62, 9,149.43 and 3,182.02

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Solution

The fourth proportional to 6,107.62, 9,149.43 and 3,182.02 is: 4,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.62 : 9,149.43 = 3,182.02 : x
  2. Step 2: Convert to fraction form
    6,107.62/9,149.43 = 3,182.02/x
  3. Step 3: Cross multiply
    6,107.62x = 9,149.43 × 3,182.02
  4. Step 4: Simplify right side
    6,107.62x = 29,113,669.25
  5. Step 5: Solve for x
    x = 29,113,669.25/6,107.62
  6. Step 6: Final answer
    x = 4,766.78

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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.