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Finding the Fourth Proportional to 6,944.90, 9,584.12 and 3,961.06

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Solution

The fourth proportional to 6,944.90, 9,584.12 and 3,961.06 is: 5,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.90 : 9,584.12 = 3,961.06 : x
  2. Step 2: Convert to fraction form
    6,944.90/9,584.12 = 3,961.06/x
  3. Step 3: Cross multiply
    6,944.90x = 9,584.12 × 3,961.06
  4. Step 4: Simplify right side
    6,944.90x = 37,963,260.31
  5. Step 5: Solve for x
    x = 37,963,260.31/6,944.90
  6. Step 6: Final answer
    x = 5,466.35

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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.