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Finding the Fourth Proportional to 6,202.98, 9,287.88 and 5,218.83

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Solution

The fourth proportional to 6,202.98, 9,287.88 and 5,218.83 is: 7,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.98 : 9,287.88 = 5,218.83 : x
  2. Step 2: Convert to fraction form
    6,202.98/9,287.88 = 5,218.83/x
  3. Step 3: Cross multiply
    6,202.98x = 9,287.88 × 5,218.83
  4. Step 4: Simplify right side
    6,202.98x = 48,471,847.21
  5. Step 5: Solve for x
    x = 48,471,847.21/6,202.98
  6. Step 6: Final answer
    x = 7,814.28

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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.