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Finding the Fourth Proportional to 6,981.38, 9,634.36 and 3,837.56

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Solution

The fourth proportional to 6,981.38, 9,634.36 and 3,837.56 is: 5,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.38 : 9,634.36 = 3,837.56 : x
  2. Step 2: Convert to fraction form
    6,981.38/9,634.36 = 3,837.56/x
  3. Step 3: Cross multiply
    6,981.38x = 9,634.36 × 3,837.56
  4. Step 4: Simplify right side
    6,981.38x = 36,972,434.56
  5. Step 5: Solve for x
    x = 36,972,434.56/6,981.38
  6. Step 6: Final answer
    x = 5,295.86

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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.