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Finding the Fourth Proportional to 9,644.92, 14,467.39 and 3,801.38

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Solution

The fourth proportional to 9,644.92, 14,467.39 and 3,801.38 is: 5,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.92 : 14,467.39 = 3,801.38 : x
  2. Step 2: Convert to fraction form
    9,644.92/14,467.39 = 3,801.38/x
  3. Step 3: Cross multiply
    9,644.92x = 14,467.39 × 3,801.38
  4. Step 4: Simplify right side
    9,644.92x = 54,995,965.16
  5. Step 5: Solve for x
    x = 54,995,965.16/9,644.92
  6. Step 6: Final answer
    x = 5,702.07

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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.