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Finding the Fourth Proportional to 9,724.37, 13,414.97 and 6,365.71

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Solution

The fourth proportional to 9,724.37, 13,414.97 and 6,365.71 is: 8,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.37 : 13,414.97 = 6,365.71 : x
  2. Step 2: Convert to fraction form
    9,724.37/13,414.97 = 6,365.71/x
  3. Step 3: Cross multiply
    9,724.37x = 13,414.97 × 6,365.71
  4. Step 4: Simplify right side
    9,724.37x = 85,395,709.78
  5. Step 5: Solve for x
    x = 85,395,709.78/9,724.37
  6. Step 6: Final answer
    x = 8,781.62

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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.