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Finding the Fourth Proportional to 6,364.80, 9,550.68 and 2,469.36

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Solution

The fourth proportional to 6,364.80, 9,550.68 and 2,469.36 is: 3,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.80 : 9,550.68 = 2,469.36 : x
  2. Step 2: Convert to fraction form
    6,364.80/9,550.68 = 2,469.36/x
  3. Step 3: Cross multiply
    6,364.80x = 9,550.68 × 2,469.36
  4. Step 4: Simplify right side
    6,364.80x = 23,584,067.16
  5. Step 5: Solve for x
    x = 23,584,067.16/6,364.80
  6. Step 6: Final answer
    x = 3,705.39

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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.