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Finding the Fourth Proportional to 7,217.80, 9,922.32 and 6,205.78

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Solution

The fourth proportional to 7,217.80, 9,922.32 and 6,205.78 is: 8,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.80 : 9,922.32 = 6,205.78 : x
  2. Step 2: Convert to fraction form
    7,217.80/9,922.32 = 6,205.78/x
  3. Step 3: Cross multiply
    7,217.80x = 9,922.32 × 6,205.78
  4. Step 4: Simplify right side
    7,217.80x = 61,575,735.01
  5. Step 5: Solve for x
    x = 61,575,735.01/7,217.80
  6. Step 6: Final answer
    x = 8,531.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.