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Finding the Fourth Proportional to 6,517.15, 9,775.54 and 3,139.18

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Solution

The fourth proportional to 6,517.15, 9,775.54 and 3,139.18 is: 4,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.15 : 9,775.54 = 3,139.18 : x
  2. Step 2: Convert to fraction form
    6,517.15/9,775.54 = 3,139.18/x
  3. Step 3: Cross multiply
    6,517.15x = 9,775.54 × 3,139.18
  4. Step 4: Simplify right side
    6,517.15x = 30,687,179.66
  5. Step 5: Solve for x
    x = 30,687,179.66/6,517.15
  6. Step 6: Final answer
    x = 4,708.68

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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.