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Finding the Fourth Proportional to 6,847.53, 9,449.36 and 3,863.25

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Solution

The fourth proportional to 6,847.53, 9,449.36 and 3,863.25 is: 5,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.53 : 9,449.36 = 3,863.25 : x
  2. Step 2: Convert to fraction form
    6,847.53/9,449.36 = 3,863.25/x
  3. Step 3: Cross multiply
    6,847.53x = 9,449.36 × 3,863.25
  4. Step 4: Simplify right side
    6,847.53x = 36,505,220.70
  5. Step 5: Solve for x
    x = 36,505,220.70/6,847.53
  6. Step 6: Final answer
    x = 5,331.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.