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Finding the Fourth Proportional to 6,713.85, 9,265.38 and 3,729.69

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Solution

The fourth proportional to 6,713.85, 9,265.38 and 3,729.69 is: 5,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.85 : 9,265.38 = 3,729.69 : x
  2. Step 2: Convert to fraction form
    6,713.85/9,265.38 = 3,729.69/x
  3. Step 3: Cross multiply
    6,713.85x = 9,265.38 × 3,729.69
  4. Step 4: Simplify right side
    6,713.85x = 34,556,995.13
  5. Step 5: Solve for x
    x = 34,556,995.13/6,713.85
  6. Step 6: Final answer
    x = 5,147.12

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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.