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Finding the Fourth Proportional to 6,205.35, 8,559.91 and 3,813.66

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Solution

The fourth proportional to 6,205.35, 8,559.91 and 3,813.66 is: 5,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.35 : 8,559.91 = 3,813.66 : x
  2. Step 2: Convert to fraction form
    6,205.35/8,559.91 = 3,813.66/x
  3. Step 3: Cross multiply
    6,205.35x = 8,559.91 × 3,813.66
  4. Step 4: Simplify right side
    6,205.35x = 32,644,543.57
  5. Step 5: Solve for x
    x = 32,644,543.57/6,205.35
  6. Step 6: Final answer
    x = 5,260.71

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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.