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Finding the Fourth Proportional to 9,949.20, 13,726.49 and 6,171.01

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Solution

The fourth proportional to 9,949.20, 13,726.49 and 6,171.01 is: 8,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.20 : 13,726.49 = 6,171.01 : x
  2. Step 2: Convert to fraction form
    9,949.20/13,726.49 = 6,171.01/x
  3. Step 3: Cross multiply
    9,949.20x = 13,726.49 × 6,171.01
  4. Step 4: Simplify right side
    9,949.20x = 84,706,297.85
  5. Step 5: Solve for x
    x = 84,706,297.85/9,949.20
  6. Step 6: Final answer
    x = 8,513.88

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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.