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Finding the Fourth Proportional to 9,645.92, 14,469.75 and 3,801.18

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Solution

The fourth proportional to 9,645.92, 14,469.75 and 3,801.18 is: 5,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.92 : 14,469.75 = 3,801.18 : x
  2. Step 2: Convert to fraction form
    9,645.92/14,469.75 = 3,801.18/x
  3. Step 3: Cross multiply
    9,645.92x = 14,469.75 × 3,801.18
  4. Step 4: Simplify right side
    9,645.92x = 55,002,124.31
  5. Step 5: Solve for x
    x = 55,002,124.31/9,645.92
  6. Step 6: Final answer
    x = 5,702.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.