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Finding the Fourth Proportional to 9,734.73, 14,537.25 and 9,630.62

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Solution

The fourth proportional to 9,734.73, 14,537.25 and 9,630.62 is: 14,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.73 : 14,537.25 = 9,630.62 : x
  2. Step 2: Convert to fraction form
    9,734.73/14,537.25 = 9,630.62/x
  3. Step 3: Cross multiply
    9,734.73x = 14,537.25 × 9,630.62
  4. Step 4: Simplify right side
    9,734.73x = 140,002,726.22
  5. Step 5: Solve for x
    x = 140,002,726.22/9,734.73
  6. Step 6: Final answer
    x = 14,381.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.