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Finding the Fourth Proportional to 9,702.62, 13,391.24 and 5,724.72

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Solution

The fourth proportional to 9,702.62, 13,391.24 and 5,724.72 is: 7,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.62 : 13,391.24 = 5,724.72 : x
  2. Step 2: Convert to fraction form
    9,702.62/13,391.24 = 5,724.72/x
  3. Step 3: Cross multiply
    9,702.62x = 13,391.24 × 5,724.72
  4. Step 4: Simplify right side
    9,702.62x = 76,661,099.45
  5. Step 5: Solve for x
    x = 76,661,099.45/9,702.62
  6. Step 6: Final answer
    x = 7,901.07

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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.