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Finding the Fourth Proportional to 6,398.82, 9,601.32 and 2,891.32

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Solution

The fourth proportional to 6,398.82, 9,601.32 and 2,891.32 is: 4,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.82 : 9,601.32 = 2,891.32 : x
  2. Step 2: Convert to fraction form
    6,398.82/9,601.32 = 2,891.32/x
  3. Step 3: Cross multiply
    6,398.82x = 9,601.32 × 2,891.32
  4. Step 4: Simplify right side
    6,398.82x = 27,760,488.54
  5. Step 5: Solve for x
    x = 27,760,488.54/6,398.82
  6. Step 6: Final answer
    x = 4,338.38

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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.