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Finding the Fourth Proportional to 6,352.09, 8,766.43 and 3,699.74

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Solution

The fourth proportional to 6,352.09, 8,766.43 and 3,699.74 is: 5,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.09 : 8,766.43 = 3,699.74 : x
  2. Step 2: Convert to fraction form
    6,352.09/8,766.43 = 3,699.74/x
  3. Step 3: Cross multiply
    6,352.09x = 8,766.43 × 3,699.74
  4. Step 4: Simplify right side
    6,352.09x = 32,433,524.39
  5. Step 5: Solve for x
    x = 32,433,524.39/6,352.09
  6. Step 6: Final answer
    x = 5,105.96

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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.