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Finding the Fourth Proportional to 6,399.60, 8,840.52 and 6,205.20

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Solution

The fourth proportional to 6,399.60, 8,840.52 and 6,205.20 is: 8,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.60 : 8,840.52 = 6,205.20 : x
  2. Step 2: Convert to fraction form
    6,399.60/8,840.52 = 6,205.20/x
  3. Step 3: Cross multiply
    6,399.60x = 8,840.52 × 6,205.20
  4. Step 4: Simplify right side
    6,399.60x = 54,857,194.70
  5. Step 5: Solve for x
    x = 54,857,194.70/6,399.60
  6. Step 6: Final answer
    x = 8,571.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.