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Finding the Fourth Proportional to 6,439.20, 9,675 and 4,100.28

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Solution

The fourth proportional to 6,439.20, 9,675 and 4,100.28 is: 6,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.20 : 9,675 = 4,100.28 : x
  2. Step 2: Convert to fraction form
    6,439.20/9,675 = 4,100.28/x
  3. Step 3: Cross multiply
    6,439.20x = 9,675 × 4,100.28
  4. Step 4: Simplify right side
    6,439.20x = 39,670,209
  5. Step 5: Solve for x
    x = 39,670,209/6,439.20
  6. Step 6: Final answer
    x = 6,160.74

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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.