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Finding the Fourth Proportional to 6,517.62, 9,765.47 and 4,204.26

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Solution

The fourth proportional to 6,517.62, 9,765.47 and 4,204.26 is: 6,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.62 : 9,765.47 = 4,204.26 : x
  2. Step 2: Convert to fraction form
    6,517.62/9,765.47 = 4,204.26/x
  3. Step 3: Cross multiply
    6,517.62x = 9,765.47 × 4,204.26
  4. Step 4: Simplify right side
    6,517.62x = 41,056,574.90
  5. Step 5: Solve for x
    x = 41,056,574.90/6,517.62
  6. Step 6: Final answer
    x = 6,299.32

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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.