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Finding the Fourth Proportional to 9,938.73, 14,906.50 and 2,542.79

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Solution

The fourth proportional to 9,938.73, 14,906.50 and 2,542.79 is: 3,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.73 : 14,906.50 = 2,542.79 : x
  2. Step 2: Convert to fraction form
    9,938.73/14,906.50 = 2,542.79/x
  3. Step 3: Cross multiply
    9,938.73x = 14,906.50 × 2,542.79
  4. Step 4: Simplify right side
    9,938.73x = 37,904,130.04
  5. Step 5: Solve for x
    x = 37,904,130.04/9,938.73
  6. Step 6: Final answer
    x = 3,813.78

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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.