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Finding the Fourth Proportional to 6,883.38, 9,499.08 and 3,739.62

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Solution

The fourth proportional to 6,883.38, 9,499.08 and 3,739.62 is: 5,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.38 : 9,499.08 = 3,739.62 : x
  2. Step 2: Convert to fraction form
    6,883.38/9,499.08 = 3,739.62/x
  3. Step 3: Cross multiply
    6,883.38x = 9,499.08 × 3,739.62
  4. Step 4: Simplify right side
    6,883.38x = 35,522,949.55
  5. Step 5: Solve for x
    x = 35,522,949.55/6,883.38
  6. Step 6: Final answer
    x = 5,160.68

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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.