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Finding the Fourth Proportional to 6,739.76, 9,299.30 and 4,086.64

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Solution

The fourth proportional to 6,739.76, 9,299.30 and 4,086.64 is: 5,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.76 : 9,299.30 = 4,086.64 : x
  2. Step 2: Convert to fraction form
    6,739.76/9,299.30 = 4,086.64/x
  3. Step 3: Cross multiply
    6,739.76x = 9,299.30 × 4,086.64
  4. Step 4: Simplify right side
    6,739.76x = 38,002,891.35
  5. Step 5: Solve for x
    x = 38,002,891.35/6,739.76
  6. Step 6: Final answer
    x = 5,638.61

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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.