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Finding the Fourth Proportional to 9,228.39, 13,842.11 and 2,654.32

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Solution

The fourth proportional to 9,228.39, 13,842.11 and 2,654.32 is: 3,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.39 : 13,842.11 = 2,654.32 : x
  2. Step 2: Convert to fraction form
    9,228.39/13,842.11 = 2,654.32/x
  3. Step 3: Cross multiply
    9,228.39x = 13,842.11 × 2,654.32
  4. Step 4: Simplify right side
    9,228.39x = 36,741,398.42
  5. Step 5: Solve for x
    x = 36,741,398.42/9,228.39
  6. Step 6: Final answer
    x = 3,981.34

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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.