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Finding the Fourth Proportional to 12,546.46, 17,314.11 and 6,881.31

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Solution

The fourth proportional to 12,546.46, 17,314.11 and 6,881.31 is: 9,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.46 : 17,314.11 = 6,881.31 : x
  2. Step 2: Convert to fraction form
    12,546.46/17,314.11 = 6,881.31/x
  3. Step 3: Cross multiply
    12,546.46x = 17,314.11 × 6,881.31
  4. Step 4: Simplify right side
    12,546.46x = 119,143,758.28
  5. Step 5: Solve for x
    x = 119,143,758.28/12,546.46
  6. Step 6: Final answer
    x = 9,496.21

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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.