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Finding the Fourth Proportional to 6,414.30, 9,620.76 and 2,254.44

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Solution

The fourth proportional to 6,414.30, 9,620.76 and 2,254.44 is: 3,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.30 : 9,620.76 = 2,254.44 : x
  2. Step 2: Convert to fraction form
    6,414.30/9,620.76 = 2,254.44/x
  3. Step 3: Cross multiply
    6,414.30x = 9,620.76 × 2,254.44
  4. Step 4: Simplify right side
    6,414.30x = 21,689,426.17
  5. Step 5: Solve for x
    x = 21,689,426.17/6,414.30
  6. Step 6: Final answer
    x = 3,381.42

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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.