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Finding the Fourth Proportional to 37,654.67, 56,481.08 and 9,191.82

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Solution

The fourth proportional to 37,654.67, 56,481.08 and 9,191.82 is: 13,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,654.67 : 56,481.08 = 9,191.82 : x
  2. Step 2: Convert to fraction form
    37,654.67/56,481.08 = 9,191.82/x
  3. Step 3: Cross multiply
    37,654.67x = 56,481.08 × 9,191.82
  4. Step 4: Simplify right side
    37,654.67x = 519,163,943.75
  5. Step 5: Solve for x
    x = 519,163,943.75/37,654.67
  6. Step 6: Final answer
    x = 13,787.51

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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.