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Finding the Fourth Proportional to 6,839.48, 9,436.80 and 3,855.32

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Solution

The fourth proportional to 6,839.48, 9,436.80 and 3,855.32 is: 5,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.48 : 9,436.80 = 3,855.32 : x
  2. Step 2: Convert to fraction form
    6,839.48/9,436.80 = 3,855.32/x
  3. Step 3: Cross multiply
    6,839.48x = 9,436.80 × 3,855.32
  4. Step 4: Simplify right side
    6,839.48x = 36,381,883.78
  5. Step 5: Solve for x
    x = 36,381,883.78/6,839.48
  6. Step 6: Final answer
    x = 5,319.39

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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.