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Finding the Fourth Proportional to 6,414.06, 9,618.90 and 2,464.38

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Solution

The fourth proportional to 6,414.06, 9,618.90 and 2,464.38 is: 3,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.06 : 9,618.90 = 2,464.38 : x
  2. Step 2: Convert to fraction form
    6,414.06/9,618.90 = 2,464.38/x
  3. Step 3: Cross multiply
    6,414.06x = 9,618.90 × 2,464.38
  4. Step 4: Simplify right side
    6,414.06x = 23,704,624.78
  5. Step 5: Solve for x
    x = 23,704,624.78/6,414.06
  6. Step 6: Final answer
    x = 3,695.73

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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.