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Finding the Fourth Proportional to 9,917.84, 13,687.89 and 5,726.09

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Solution

The fourth proportional to 9,917.84, 13,687.89 and 5,726.09 is: 7,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.84 : 13,687.89 = 5,726.09 : x
  2. Step 2: Convert to fraction form
    9,917.84/13,687.89 = 5,726.09/x
  3. Step 3: Cross multiply
    9,917.84x = 13,687.89 × 5,726.09
  4. Step 4: Simplify right side
    9,917.84x = 78,378,102.80
  5. Step 5: Solve for x
    x = 78,378,102.80/9,917.84
  6. Step 6: Final answer
    x = 7,902.74

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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.