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Finding the Fourth Proportional to 12,414.16, 17,129.09 and 6,963.41

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Solution

The fourth proportional to 12,414.16, 17,129.09 and 6,963.41 is: 9,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.16 : 17,129.09 = 6,963.41 : x
  2. Step 2: Convert to fraction form
    12,414.16/17,129.09 = 6,963.41/x
  3. Step 3: Cross multiply
    12,414.16x = 17,129.09 × 6,963.41
  4. Step 4: Simplify right side
    12,414.16x = 119,276,876.60
  5. Step 5: Solve for x
    x = 119,276,876.60/12,414.16
  6. Step 6: Final answer
    x = 9,608.13

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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.