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Finding the Fourth Proportional to 6,205.26, 9,291.33 and 5,221.11

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Solution

The fourth proportional to 6,205.26, 9,291.33 and 5,221.11 is: 7,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.26 : 9,291.33 = 5,221.11 : x
  2. Step 2: Convert to fraction form
    6,205.26/9,291.33 = 5,221.11/x
  3. Step 3: Cross multiply
    6,205.26x = 9,291.33 × 5,221.11
  4. Step 4: Simplify right side
    6,205.26x = 48,511,055.98
  5. Step 5: Solve for x
    x = 48,511,055.98/6,205.26
  6. Step 6: Final answer
    x = 7,817.73

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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.