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Finding the Fourth Proportional to 6,947.90, 9,588.01 and 3,963.78

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Solution

The fourth proportional to 6,947.90, 9,588.01 and 3,963.78 is: 5,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.90 : 9,588.01 = 3,963.78 : x
  2. Step 2: Convert to fraction form
    6,947.90/9,588.01 = 3,963.78/x
  3. Step 3: Cross multiply
    6,947.90x = 9,588.01 × 3,963.78
  4. Step 4: Simplify right side
    6,947.90x = 38,004,762.28
  5. Step 5: Solve for x
    x = 38,004,762.28/6,947.90
  6. Step 6: Final answer
    x = 5,469.96

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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.