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Finding the Fourth Proportional to 9,142.97, 13,714.46 and 2,217.47

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Solution

The fourth proportional to 9,142.97, 13,714.46 and 2,217.47 is: 3,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.97 : 13,714.46 = 2,217.47 : x
  2. Step 2: Convert to fraction form
    9,142.97/13,714.46 = 2,217.47/x
  3. Step 3: Cross multiply
    9,142.97x = 13,714.46 × 2,217.47
  4. Step 4: Simplify right side
    9,142.97x = 30,411,426.81
  5. Step 5: Solve for x
    x = 30,411,426.81/9,142.97
  6. Step 6: Final answer
    x = 3,326.21

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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.