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Finding the Fourth Proportional to 6,493.76, 8,960.75 and 3,805.27

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Solution

The fourth proportional to 6,493.76, 8,960.75 and 3,805.27 is: 5,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.76 : 8,960.75 = 3,805.27 : x
  2. Step 2: Convert to fraction form
    6,493.76/8,960.75 = 3,805.27/x
  3. Step 3: Cross multiply
    6,493.76x = 8,960.75 × 3,805.27
  4. Step 4: Simplify right side
    6,493.76x = 34,098,031.72
  5. Step 5: Solve for x
    x = 34,098,031.72/6,493.76
  6. Step 6: Final answer
    x = 5,250.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.