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Finding the Fourth Proportional to 10,218.34, 14,107.22 and 6,687.69

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Solution

The fourth proportional to 10,218.34, 14,107.22 and 6,687.69 is: 9,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.34 : 14,107.22 = 6,687.69 : x
  2. Step 2: Convert to fraction form
    10,218.34/14,107.22 = 6,687.69/x
  3. Step 3: Cross multiply
    10,218.34x = 14,107.22 × 6,687.69
  4. Step 4: Simplify right side
    10,218.34x = 94,344,714.12
  5. Step 5: Solve for x
    x = 94,344,714.12/10,218.34
  6. Step 6: Final answer
    x = 9,232.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.