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Finding the Fourth Proportional to 6,301.88, 9,452.90 and 2,197.88

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Solution

The fourth proportional to 6,301.88, 9,452.90 and 2,197.88 is: 3,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.88 : 9,452.90 = 2,197.88 : x
  2. Step 2: Convert to fraction form
    6,301.88/9,452.90 = 2,197.88/x
  3. Step 3: Cross multiply
    6,301.88x = 9,452.90 × 2,197.88
  4. Step 4: Simplify right side
    6,301.88x = 20,776,339.85
  5. Step 5: Solve for x
    x = 20,776,339.85/6,301.88
  6. Step 6: Final answer
    x = 3,296.85

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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.