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Finding the Fourth Proportional to 6,317.28, 9,468 and 4,861.92

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Solution

The fourth proportional to 6,317.28, 9,468 and 4,861.92 is: 7,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.28 : 9,468 = 4,861.92 : x
  2. Step 2: Convert to fraction form
    6,317.28/9,468 = 4,861.92/x
  3. Step 3: Cross multiply
    6,317.28x = 9,468 × 4,861.92
  4. Step 4: Simplify right side
    6,317.28x = 46,032,658.56
  5. Step 5: Solve for x
    x = 46,032,658.56/6,317.28
  6. Step 6: Final answer
    x = 7,286.78

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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.