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Finding the Fourth Proportional to 6,839.31, 9,437.98 and 3,855.75

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Solution

The fourth proportional to 6,839.31, 9,437.98 and 3,855.75 is: 5,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.31 : 9,437.98 = 3,855.75 : x
  2. Step 2: Convert to fraction form
    6,839.31/9,437.98 = 3,855.75/x
  3. Step 3: Cross multiply
    6,839.31x = 9,437.98 × 3,855.75
  4. Step 4: Simplify right side
    6,839.31x = 36,390,491.39
  5. Step 5: Solve for x
    x = 36,390,491.39/6,839.31
  6. Step 6: Final answer
    x = 5,320.78

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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.