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Finding the Fourth Proportional to 6,308.20, 9,454.38 and 3,704.68

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Solution

The fourth proportional to 6,308.20, 9,454.38 and 3,704.68 is: 5,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.20 : 9,454.38 = 3,704.68 : x
  2. Step 2: Convert to fraction form
    6,308.20/9,454.38 = 3,704.68/x
  3. Step 3: Cross multiply
    6,308.20x = 9,454.38 × 3,704.68
  4. Step 4: Simplify right side
    6,308.20x = 35,025,452.50
  5. Step 5: Solve for x
    x = 35,025,452.50/6,308.20
  6. Step 6: Final answer
    x = 5,552.37

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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.