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Finding the Fourth Proportional to 6,280.26, 9,414.73 and 3,464.83

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Solution

The fourth proportional to 6,280.26, 9,414.73 and 3,464.83 is: 5,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.26 : 9,414.73 = 3,464.83 : x
  2. Step 2: Convert to fraction form
    6,280.26/9,414.73 = 3,464.83/x
  3. Step 3: Cross multiply
    6,280.26x = 9,414.73 × 3,464.83
  4. Step 4: Simplify right side
    6,280.26x = 32,620,402.09
  5. Step 5: Solve for x
    x = 32,620,402.09/6,280.26
  6. Step 6: Final answer
    x = 5,194.12

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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.