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Finding the Fourth Proportional to 6,944.31, 9,582.92 and 3,961.11

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Solution

The fourth proportional to 6,944.31, 9,582.92 and 3,961.11 is: 5,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.31 : 9,582.92 = 3,961.11 : x
  2. Step 2: Convert to fraction form
    6,944.31/9,582.92 = 3,961.11/x
  3. Step 3: Cross multiply
    6,944.31x = 9,582.92 × 3,961.11
  4. Step 4: Simplify right side
    6,944.31x = 37,958,980.44
  5. Step 5: Solve for x
    x = 37,958,980.44/6,944.31
  6. Step 6: Final answer
    x = 5,466.20

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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.