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Finding the Fourth Proportional to 6,282.55, 9,425.99 and 3,939.74

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Solution

The fourth proportional to 6,282.55, 9,425.99 and 3,939.74 is: 5,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.55 : 9,425.99 = 3,939.74 : x
  2. Step 2: Convert to fraction form
    6,282.55/9,425.99 = 3,939.74/x
  3. Step 3: Cross multiply
    6,282.55x = 9,425.99 × 3,939.74
  4. Step 4: Simplify right side
    6,282.55x = 37,135,949.84
  5. Step 5: Solve for x
    x = 37,135,949.84/6,282.55
  6. Step 6: Final answer
    x = 5,910.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.