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Finding the Fourth Proportional to 6,936.13, 9,571.87 and 3,951.96

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Solution

The fourth proportional to 6,936.13, 9,571.87 and 3,951.96 is: 5,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.13 : 9,571.87 = 3,951.96 : x
  2. Step 2: Convert to fraction form
    6,936.13/9,571.87 = 3,951.96/x
  3. Step 3: Cross multiply
    6,936.13x = 9,571.87 × 3,951.96
  4. Step 4: Simplify right side
    6,936.13x = 37,827,628.38
  5. Step 5: Solve for x
    x = 37,827,628.38/6,936.13
  6. Step 6: Final answer
    x = 5,453.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.