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Finding the Fourth Proportional to 6,379.80, 9,549.22 and 3,410.82

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Solution

The fourth proportional to 6,379.80, 9,549.22 and 3,410.82 is: 5,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.80 : 9,549.22 = 3,410.82 : x
  2. Step 2: Convert to fraction form
    6,379.80/9,549.22 = 3,410.82/x
  3. Step 3: Cross multiply
    6,379.80x = 9,549.22 × 3,410.82
  4. Step 4: Simplify right side
    6,379.80x = 32,570,668.43
  5. Step 5: Solve for x
    x = 32,570,668.43/6,379.80
  6. Step 6: Final answer
    x = 5,105.28

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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.