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Finding the Fourth Proportional to 6,418.96, 8,858.22 and 3,766.42

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Solution

The fourth proportional to 6,418.96, 8,858.22 and 3,766.42 is: 5,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.96 : 8,858.22 = 3,766.42 : x
  2. Step 2: Convert to fraction form
    6,418.96/8,858.22 = 3,766.42/x
  3. Step 3: Cross multiply
    6,418.96x = 8,858.22 × 3,766.42
  4. Step 4: Simplify right side
    6,418.96x = 33,363,776.97
  5. Step 5: Solve for x
    x = 33,363,776.97/6,418.96
  6. Step 6: Final answer
    x = 5,197.69

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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.