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Finding the Fourth Proportional to 9,142.75, 13,714.13 and 2,217.25

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Solution

The fourth proportional to 9,142.75, 13,714.13 and 2,217.25 is: 3,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.75 : 13,714.13 = 2,217.25 : x
  2. Step 2: Convert to fraction form
    9,142.75/13,714.13 = 2,217.25/x
  3. Step 3: Cross multiply
    9,142.75x = 13,714.13 × 2,217.25
  4. Step 4: Simplify right side
    9,142.75x = 30,407,654.74
  5. Step 5: Solve for x
    x = 30,407,654.74/9,142.75
  6. Step 6: Final answer
    x = 3,325.88

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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.