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Finding the Fourth Proportional to 9,902.50, 13,665.45 and 5,923.78

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Solution

The fourth proportional to 9,902.50, 13,665.45 and 5,923.78 is: 8,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.50 : 13,665.45 = 5,923.78 : x
  2. Step 2: Convert to fraction form
    9,902.50/13,665.45 = 5,923.78/x
  3. Step 3: Cross multiply
    9,902.50x = 13,665.45 × 5,923.78
  4. Step 4: Simplify right side
    9,902.50x = 80,951,119.40
  5. Step 5: Solve for x
    x = 80,951,119.40/9,902.50
  6. Step 6: Final answer
    x = 8,174.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.