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Finding the Fourth Proportional to 6,385.87, 9,578.40 and 2,688.49

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Solution

The fourth proportional to 6,385.87, 9,578.40 and 2,688.49 is: 4,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.87 : 9,578.40 = 2,688.49 : x
  2. Step 2: Convert to fraction form
    6,385.87/9,578.40 = 2,688.49/x
  3. Step 3: Cross multiply
    6,385.87x = 9,578.40 × 2,688.49
  4. Step 4: Simplify right side
    6,385.87x = 25,751,432.62
  5. Step 5: Solve for x
    x = 25,751,432.62/6,385.87
  6. Step 6: Final answer
    x = 4,032.56

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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.