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Finding the Fourth Proportional to 6,708.24, 9,257.94 and 3,724.20

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Solution

The fourth proportional to 6,708.24, 9,257.94 and 3,724.20 is: 5,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.24 : 9,257.94 = 3,724.20 : x
  2. Step 2: Convert to fraction form
    6,708.24/9,257.94 = 3,724.20/x
  3. Step 3: Cross multiply
    6,708.24x = 9,257.94 × 3,724.20
  4. Step 4: Simplify right side
    6,708.24x = 34,478,420.15
  5. Step 5: Solve for x
    x = 34,478,420.15/6,708.24
  6. Step 6: Final answer
    x = 5,139.71

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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.