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Finding the Fourth Proportional to 6,414.39, 9,614.90 and 3,122.96

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Solution

The fourth proportional to 6,414.39, 9,614.90 and 3,122.96 is: 4,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.39 : 9,614.90 = 3,122.96 : x
  2. Step 2: Convert to fraction form
    6,414.39/9,614.90 = 3,122.96/x
  3. Step 3: Cross multiply
    6,414.39x = 9,614.90 × 3,122.96
  4. Step 4: Simplify right side
    6,414.39x = 30,026,907.84
  5. Step 5: Solve for x
    x = 30,026,907.84/6,414.39
  6. Step 6: Final answer
    x = 4,681.18

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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.