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Finding the Fourth Proportional to 9,287.97, 13,932.42 and 2,714.68

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Solution

The fourth proportional to 9,287.97, 13,932.42 and 2,714.68 is: 4,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.97 : 13,932.42 = 2,714.68 : x
  2. Step 2: Convert to fraction form
    9,287.97/13,932.42 = 2,714.68/x
  3. Step 3: Cross multiply
    9,287.97x = 13,932.42 × 2,714.68
  4. Step 4: Simplify right side
    9,287.97x = 37,822,061.93
  5. Step 5: Solve for x
    x = 37,822,061.93/9,287.97
  6. Step 6: Final answer
    x = 4,072.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.