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Finding the Fourth Proportional to 9,724.73, 13,420.17 and 5,532.98

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Solution

The fourth proportional to 9,724.73, 13,420.17 and 5,532.98 is: 7,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.73 : 13,420.17 = 5,532.98 : x
  2. Step 2: Convert to fraction form
    9,724.73/13,420.17 = 5,532.98/x
  3. Step 3: Cross multiply
    9,724.73x = 13,420.17 × 5,532.98
  4. Step 4: Simplify right side
    9,724.73x = 74,253,465.11
  5. Step 5: Solve for x
    x = 74,253,465.11/9,724.73
  6. Step 6: Final answer
    x = 7,635.53

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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.