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Finding the Fourth Proportional to 6,403.26, 9,605.19 and 3,112.44

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Solution

The fourth proportional to 6,403.26, 9,605.19 and 3,112.44 is: 4,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.26 : 9,605.19 = 3,112.44 : x
  2. Step 2: Convert to fraction form
    6,403.26/9,605.19 = 3,112.44/x
  3. Step 3: Cross multiply
    6,403.26x = 9,605.19 × 3,112.44
  4. Step 4: Simplify right side
    6,403.26x = 29,895,577.56
  5. Step 5: Solve for x
    x = 29,895,577.56/6,403.26
  6. Step 6: Final answer
    x = 4,668.81

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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.