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Finding the Fourth Proportional to 6,487.14, 9,729.78 and 3,704.79

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Solution

The fourth proportional to 6,487.14, 9,729.78 and 3,704.79 is: 5,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.14 : 9,729.78 = 3,704.79 : x
  2. Step 2: Convert to fraction form
    6,487.14/9,729.78 = 3,704.79/x
  3. Step 3: Cross multiply
    6,487.14x = 9,729.78 × 3,704.79
  4. Step 4: Simplify right side
    6,487.14x = 36,046,791.65
  5. Step 5: Solve for x
    x = 36,046,791.65/6,487.14
  6. Step 6: Final answer
    x = 5,556.65

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