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Finding the Fourth Proportional to 6,708.12, 9,257.13 and 3,723.87

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Solution

The fourth proportional to 6,708.12, 9,257.13 and 3,723.87 is: 5,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.12 : 9,257.13 = 3,723.87 : x
  2. Step 2: Convert to fraction form
    6,708.12/9,257.13 = 3,723.87/x
  3. Step 3: Cross multiply
    6,708.12x = 9,257.13 × 3,723.87
  4. Step 4: Simplify right side
    6,708.12x = 34,472,348.69
  5. Step 5: Solve for x
    x = 34,472,348.69/6,708.12
  6. Step 6: Final answer
    x = 5,138.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.