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Finding the Fourth Proportional to 6,463.87, 9,689.64 and 2,078.25

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Solution

The fourth proportional to 6,463.87, 9,689.64 and 2,078.25 is: 3,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.87 : 9,689.64 = 2,078.25 : x
  2. Step 2: Convert to fraction form
    6,463.87/9,689.64 = 2,078.25/x
  3. Step 3: Cross multiply
    6,463.87x = 9,689.64 × 2,078.25
  4. Step 4: Simplify right side
    6,463.87x = 20,137,494.33
  5. Step 5: Solve for x
    x = 20,137,494.33/6,463.87
  6. Step 6: Final answer
    x = 3,115.39

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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.