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Finding the Fourth Proportional to 6,272.16, 8,656.80 and 4,147.81

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Solution

The fourth proportional to 6,272.16, 8,656.80 and 4,147.81 is: 5,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.16 : 8,656.80 = 4,147.81 : x
  2. Step 2: Convert to fraction form
    6,272.16/8,656.80 = 4,147.81/x
  3. Step 3: Cross multiply
    6,272.16x = 8,656.80 × 4,147.81
  4. Step 4: Simplify right side
    6,272.16x = 35,906,736.08
  5. Step 5: Solve for x
    x = 35,906,736.08/6,272.16
  6. Step 6: Final answer
    x = 5,724.78

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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.