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Finding the Fourth Proportional to 9,948.57, 13,726.31 and 6,169.92

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Solution

The fourth proportional to 9,948.57, 13,726.31 and 6,169.92 is: 8,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.57 : 13,726.31 = 6,169.92 : x
  2. Step 2: Convert to fraction form
    9,948.57/13,726.31 = 6,169.92/x
  3. Step 3: Cross multiply
    9,948.57x = 13,726.31 × 6,169.92
  4. Step 4: Simplify right side
    9,948.57x = 84,690,203.75
  5. Step 5: Solve for x
    x = 84,690,203.75/9,948.57
  6. Step 6: Final answer
    x = 8,512.80

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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.