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Finding the Fourth Proportional to 6,976.16, 9,630.41 and 3,991.41

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Solution

The fourth proportional to 6,976.16, 9,630.41 and 3,991.41 is: 5,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.16 : 9,630.41 = 3,991.41 : x
  2. Step 2: Convert to fraction form
    6,976.16/9,630.41 = 3,991.41/x
  3. Step 3: Cross multiply
    6,976.16x = 9,630.41 × 3,991.41
  4. Step 4: Simplify right side
    6,976.16x = 38,438,914.78
  5. Step 5: Solve for x
    x = 38,438,914.78/6,976.16
  6. Step 6: Final answer
    x = 5,510.04

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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.