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Finding the Fourth Proportional to 9,228.50, 13,842.24 and 2,654.42

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Solution

The fourth proportional to 9,228.50, 13,842.24 and 2,654.42 is: 3,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.50 : 13,842.24 = 2,654.42 : x
  2. Step 2: Convert to fraction form
    9,228.50/13,842.24 = 2,654.42/x
  3. Step 3: Cross multiply
    9,228.50x = 13,842.24 × 2,654.42
  4. Step 4: Simplify right side
    9,228.50x = 36,743,049.49
  5. Step 5: Solve for x
    x = 36,743,049.49/9,228.50
  6. Step 6: Final answer
    x = 3,981.48

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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.