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Finding the Fourth Proportional to 6,380.22, 9,574.70 and 2,220.22

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Solution

The fourth proportional to 6,380.22, 9,574.70 and 2,220.22 is: 3,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.22 : 9,574.70 = 2,220.22 : x
  2. Step 2: Convert to fraction form
    6,380.22/9,574.70 = 2,220.22/x
  3. Step 3: Cross multiply
    6,380.22x = 9,574.70 × 2,220.22
  4. Step 4: Simplify right side
    6,380.22x = 21,257,940.43
  5. Step 5: Solve for x
    x = 21,257,940.43/6,380.22
  6. Step 6: Final answer
    x = 3,331.85

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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.