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Finding the Fourth Proportional to 6,414.57, 9,620.09 and 2,197.76

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Solution

The fourth proportional to 6,414.57, 9,620.09 and 2,197.76 is: 3,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.57 : 9,620.09 = 2,197.76 : x
  2. Step 2: Convert to fraction form
    6,414.57/9,620.09 = 2,197.76/x
  3. Step 3: Cross multiply
    6,414.57x = 9,620.09 × 2,197.76
  4. Step 4: Simplify right side
    6,414.57x = 21,142,649.00
  5. Step 5: Solve for x
    x = 21,142,649.00/6,414.57
  6. Step 6: Final answer
    x = 3,296.04

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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.