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Finding the Fourth Proportional to 6,965.22, 9,611.97 and 3,821.34

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Solution

The fourth proportional to 6,965.22, 9,611.97 and 3,821.34 is: 5,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.22 : 9,611.97 = 3,821.34 : x
  2. Step 2: Convert to fraction form
    6,965.22/9,611.97 = 3,821.34/x
  3. Step 3: Cross multiply
    6,965.22x = 9,611.97 × 3,821.34
  4. Step 4: Simplify right side
    6,965.22x = 36,730,605.44
  5. Step 5: Solve for x
    x = 36,730,605.44/6,965.22
  6. Step 6: Final answer
    x = 5,273.43

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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.