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Finding the Fourth Proportional to 6,309.08, 9,451.31 and 5,431.54

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Solution

The fourth proportional to 6,309.08, 9,451.31 and 5,431.54 is: 8,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.08 : 9,451.31 = 5,431.54 : x
  2. Step 2: Convert to fraction form
    6,309.08/9,451.31 = 5,431.54/x
  3. Step 3: Cross multiply
    6,309.08x = 9,451.31 × 5,431.54
  4. Step 4: Simplify right side
    6,309.08x = 51,335,168.32
  5. Step 5: Solve for x
    x = 51,335,168.32/6,309.08
  6. Step 6: Final answer
    x = 8,136.71

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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.