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Finding the Fourth Proportional to 6,232.39, 8,583.20 and 6,096.31

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Solution

The fourth proportional to 6,232.39, 8,583.20 and 6,096.31 is: 8,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.39 : 8,583.20 = 6,096.31 : x
  2. Step 2: Convert to fraction form
    6,232.39/8,583.20 = 6,096.31/x
  3. Step 3: Cross multiply
    6,232.39x = 8,583.20 × 6,096.31
  4. Step 4: Simplify right side
    6,232.39x = 52,325,796.05
  5. Step 5: Solve for x
    x = 52,325,796.05/6,232.39
  6. Step 6: Final answer
    x = 8,395.79

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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.