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Finding the Fourth Proportional to 9,227.42, 13,843.50 and 2,654.12

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Solution

The fourth proportional to 9,227.42, 13,843.50 and 2,654.12 is: 3,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.42 : 13,843.50 = 2,654.12 : x
  2. Step 2: Convert to fraction form
    9,227.42/13,843.50 = 2,654.12/x
  3. Step 3: Cross multiply
    9,227.42x = 13,843.50 × 2,654.12
  4. Step 4: Simplify right side
    9,227.42x = 36,742,310.22
  5. Step 5: Solve for x
    x = 36,742,310.22/9,227.42
  6. Step 6: Final answer
    x = 3,981.86

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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.