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Finding the Fourth Proportional to 9,228.20, 13,842.41 and 2,654.44

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Solution

The fourth proportional to 9,228.20, 13,842.41 and 2,654.44 is: 3,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.20 : 13,842.41 = 2,654.44 : x
  2. Step 2: Convert to fraction form
    9,228.20/13,842.41 = 2,654.44/x
  3. Step 3: Cross multiply
    9,228.20x = 13,842.41 × 2,654.44
  4. Step 4: Simplify right side
    9,228.20x = 36,743,798.92
  5. Step 5: Solve for x
    x = 36,743,798.92/9,228.20
  6. Step 6: Final answer
    x = 3,981.69

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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.