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Finding the Fourth Proportional to 6,708.47, 9,257.68 and 3,724.75

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Solution

The fourth proportional to 6,708.47, 9,257.68 and 3,724.75 is: 5,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.47 : 9,257.68 = 3,724.75 : x
  2. Step 2: Convert to fraction form
    6,708.47/9,257.68 = 3,724.75/x
  3. Step 3: Cross multiply
    6,708.47x = 9,257.68 × 3,724.75
  4. Step 4: Simplify right side
    6,708.47x = 34,482,543.58
  5. Step 5: Solve for x
    x = 34,482,543.58/6,708.47
  6. Step 6: Final answer
    x = 5,140.15

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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.