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Finding the Fourth Proportional to 9,231.05, 12,739.94 and 5,694.32

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Solution

The fourth proportional to 9,231.05, 12,739.94 and 5,694.32 is: 7,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.05 : 12,739.94 = 5,694.32 : x
  2. Step 2: Convert to fraction form
    9,231.05/12,739.94 = 5,694.32/x
  3. Step 3: Cross multiply
    9,231.05x = 12,739.94 × 5,694.32
  4. Step 4: Simplify right side
    9,231.05x = 72,545,202.97
  5. Step 5: Solve for x
    x = 72,545,202.97/9,231.05
  6. Step 6: Final answer
    x = 7,858.83

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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.