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Finding the Fourth Proportional to 9,211.98, 13,806.41 and 3,940.80

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Solution

The fourth proportional to 9,211.98, 13,806.41 and 3,940.80 is: 5,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.98 : 13,806.41 = 3,940.80 : x
  2. Step 2: Convert to fraction form
    9,211.98/13,806.41 = 3,940.80/x
  3. Step 3: Cross multiply
    9,211.98x = 13,806.41 × 3,940.80
  4. Step 4: Simplify right side
    9,211.98x = 54,408,300.53
  5. Step 5: Solve for x
    x = 54,408,300.53/9,211.98
  6. Step 6: Final answer
    x = 5,906.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.