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Finding the Fourth Proportional to 9,949.74, 13,726.17 and 6,411.66

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Solution

The fourth proportional to 9,949.74, 13,726.17 and 6,411.66 is: 8,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.74 : 13,726.17 = 6,411.66 : x
  2. Step 2: Convert to fraction form
    9,949.74/13,726.17 = 6,411.66/x
  3. Step 3: Cross multiply
    9,949.74x = 13,726.17 × 6,411.66
  4. Step 4: Simplify right side
    9,949.74x = 88,007,535.14
  5. Step 5: Solve for x
    x = 88,007,535.14/9,949.74
  6. Step 6: Final answer
    x = 8,845.21

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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.