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Finding the Fourth Proportional to 6,517.80, 9,773.10 and 2,617.80

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Solution

The fourth proportional to 6,517.80, 9,773.10 and 2,617.80 is: 3,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.80 : 9,773.10 = 2,617.80 : x
  2. Step 2: Convert to fraction form
    6,517.80/9,773.10 = 2,617.80/x
  3. Step 3: Cross multiply
    6,517.80x = 9,773.10 × 2,617.80
  4. Step 4: Simplify right side
    6,517.80x = 25,584,021.18
  5. Step 5: Solve for x
    x = 25,584,021.18/6,517.80
  6. Step 6: Final answer
    x = 3,925.25

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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.