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Finding the Fourth Proportional to 10,122.94, 13,963.82 and 6,086.97

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Solution

The fourth proportional to 10,122.94, 13,963.82 and 6,086.97 is: 8,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.94 : 13,963.82 = 6,086.97 : x
  2. Step 2: Convert to fraction form
    10,122.94/13,963.82 = 6,086.97/x
  3. Step 3: Cross multiply
    10,122.94x = 13,963.82 × 6,086.97
  4. Step 4: Simplify right side
    10,122.94x = 84,997,353.43
  5. Step 5: Solve for x
    x = 84,997,353.43/10,122.94
  6. Step 6: Final answer
    x = 8,396.51

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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.