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Finding the Fourth Proportional to 9,644.31, 14,468.63 and 3,404.76

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Solution

The fourth proportional to 9,644.31, 14,468.63 and 3,404.76 is: 5,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.31 : 14,468.63 = 3,404.76 : x
  2. Step 2: Convert to fraction form
    9,644.31/14,468.63 = 3,404.76/x
  3. Step 3: Cross multiply
    9,644.31x = 14,468.63 × 3,404.76
  4. Step 4: Simplify right side
    9,644.31x = 49,262,195.66
  5. Step 5: Solve for x
    x = 49,262,195.66/9,644.31
  6. Step 6: Final answer
    x = 5,107.90

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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.