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Finding the Fourth Proportional to 6,418.40, 9,627.60 and 4,229.60

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Solution

The fourth proportional to 6,418.40, 9,627.60 and 4,229.60 is: 6,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.40 : 9,627.60 = 4,229.60 : x
  2. Step 2: Convert to fraction form
    6,418.40/9,627.60 = 4,229.60/x
  3. Step 3: Cross multiply
    6,418.40x = 9,627.60 × 4,229.60
  4. Step 4: Simplify right side
    6,418.40x = 40,720,896.96
  5. Step 5: Solve for x
    x = 40,720,896.96/6,418.40
  6. Step 6: Final answer
    x = 6,344.40

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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.