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Finding the Fourth Proportional to 6,402.26, 9,605.94 and 3,114.98

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Solution

The fourth proportional to 6,402.26, 9,605.94 and 3,114.98 is: 4,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.26 : 9,605.94 = 3,114.98 : x
  2. Step 2: Convert to fraction form
    6,402.26/9,605.94 = 3,114.98/x
  3. Step 3: Cross multiply
    6,402.26x = 9,605.94 × 3,114.98
  4. Step 4: Simplify right side
    6,402.26x = 29,922,310.98
  5. Step 5: Solve for x
    x = 29,922,310.98/6,402.26
  6. Step 6: Final answer
    x = 4,673.71

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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.