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Finding the Fourth Proportional to 6,440.26, 9,661.15 and 2,279.40

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Solution

The fourth proportional to 6,440.26, 9,661.15 and 2,279.40 is: 3,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.26 : 9,661.15 = 2,279.40 : x
  2. Step 2: Convert to fraction form
    6,440.26/9,661.15 = 2,279.40/x
  3. Step 3: Cross multiply
    6,440.26x = 9,661.15 × 2,279.40
  4. Step 4: Simplify right side
    6,440.26x = 22,021,625.31
  5. Step 5: Solve for x
    x = 22,021,625.31/6,440.26
  6. Step 6: Final answer
    x = 3,419.37

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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.