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Finding the Fourth Proportional to 6,727.87, 9,284.31 and 3,895.37

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Solution

The fourth proportional to 6,727.87, 9,284.31 and 3,895.37 is: 5,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.87 : 9,284.31 = 3,895.37 : x
  2. Step 2: Convert to fraction form
    6,727.87/9,284.31 = 3,895.37/x
  3. Step 3: Cross multiply
    6,727.87x = 9,284.31 × 3,895.37
  4. Step 4: Simplify right side
    6,727.87x = 36,165,795.88
  5. Step 5: Solve for x
    x = 36,165,795.88/6,727.87
  6. Step 6: Final answer
    x = 5,375.52

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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.