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Finding the Fourth Proportional to 9,644.00, 14,467.17 and 3,402.73

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Solution

The fourth proportional to 9,644.00, 14,467.17 and 3,402.73 is: 5,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.00 : 14,467.17 = 3,402.73 : x
  2. Step 2: Convert to fraction form
    9,644.00/14,467.17 = 3,402.73/x
  3. Step 3: Cross multiply
    9,644.00x = 14,467.17 × 3,402.73
  4. Step 4: Simplify right side
    9,644.00x = 49,227,878.70
  5. Step 5: Solve for x
    x = 49,227,878.70/9,644.00
  6. Step 6: Final answer
    x = 5,104.51

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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.