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Finding the Fourth Proportional to 6,268.80, 9,403.20 and 5,884.80

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Solution

The fourth proportional to 6,268.80, 9,403.20 and 5,884.80 is: 8,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.80 : 9,403.20 = 5,884.80 : x
  2. Step 2: Convert to fraction form
    6,268.80/9,403.20 = 5,884.80/x
  3. Step 3: Cross multiply
    6,268.80x = 9,403.20 × 5,884.80
  4. Step 4: Simplify right side
    6,268.80x = 55,335,951.36
  5. Step 5: Solve for x
    x = 55,335,951.36/6,268.80
  6. Step 6: Final answer
    x = 8,827.20

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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.