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Finding the Fourth Proportional to 6,947.16, 9,586.96 and 3,963.16

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Solution

The fourth proportional to 6,947.16, 9,586.96 and 3,963.16 is: 5,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.16 : 9,586.96 = 3,963.16 : x
  2. Step 2: Convert to fraction form
    6,947.16/9,586.96 = 3,963.16/x
  3. Step 3: Cross multiply
    6,947.16x = 9,586.96 × 3,963.16
  4. Step 4: Simplify right side
    6,947.16x = 37,994,656.39
  5. Step 5: Solve for x
    x = 37,994,656.39/6,947.16
  6. Step 6: Final answer
    x = 5,469.09

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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.