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Finding the Fourth Proportional to 9,644.20, 14,468.42 and 4,102.29

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Solution

The fourth proportional to 9,644.20, 14,468.42 and 4,102.29 is: 6,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.20 : 14,468.42 = 4,102.29 : x
  2. Step 2: Convert to fraction form
    9,644.20/14,468.42 = 4,102.29/x
  3. Step 3: Cross multiply
    9,644.20x = 14,468.42 × 4,102.29
  4. Step 4: Simplify right side
    9,644.20x = 59,353,654.68
  5. Step 5: Solve for x
    x = 59,353,654.68/9,644.20
  6. Step 6: Final answer
    x = 6,154.34

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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.