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Finding the Fourth Proportional to 6,961.38, 9,606.57 and 3,936.46

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Solution

The fourth proportional to 6,961.38, 9,606.57 and 3,936.46 is: 5,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.38 : 9,606.57 = 3,936.46 : x
  2. Step 2: Convert to fraction form
    6,961.38/9,606.57 = 3,936.46/x
  3. Step 3: Cross multiply
    6,961.38x = 9,606.57 × 3,936.46
  4. Step 4: Simplify right side
    6,961.38x = 37,815,904.50
  5. Step 5: Solve for x
    x = 37,815,904.50/6,961.38
  6. Step 6: Final answer
    x = 5,432.24

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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.