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Finding the Fourth Proportional to 6,380.28, 9,571.08 and 1,763.28

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Solution

The fourth proportional to 6,380.28, 9,571.08 and 1,763.28 is: 2,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.28 : 9,571.08 = 1,763.28 : x
  2. Step 2: Convert to fraction form
    6,380.28/9,571.08 = 1,763.28/x
  3. Step 3: Cross multiply
    6,380.28x = 9,571.08 × 1,763.28
  4. Step 4: Simplify right side
    6,380.28x = 16,876,493.94
  5. Step 5: Solve for x
    x = 16,876,493.94/6,380.28
  6. Step 6: Final answer
    x = 2,645.10

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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.