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Finding the Fourth Proportional to 9,102.97, 13,654.45 and 2,529.15

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Solution

The fourth proportional to 9,102.97, 13,654.45 and 2,529.15 is: 3,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.97 : 13,654.45 = 2,529.15 : x
  2. Step 2: Convert to fraction form
    9,102.97/13,654.45 = 2,529.15/x
  3. Step 3: Cross multiply
    9,102.97x = 13,654.45 × 2,529.15
  4. Step 4: Simplify right side
    9,102.97x = 34,534,184.77
  5. Step 5: Solve for x
    x = 34,534,184.77/9,102.97
  6. Step 6: Final answer
    x = 3,793.73

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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.