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Finding the Fourth Proportional to 6,284.78, 8,673.24 and 3,766.41

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Solution

The fourth proportional to 6,284.78, 8,673.24 and 3,766.41 is: 5,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.78 : 8,673.24 = 3,766.41 : x
  2. Step 2: Convert to fraction form
    6,284.78/8,673.24 = 3,766.41/x
  3. Step 3: Cross multiply
    6,284.78x = 8,673.24 × 3,766.41
  4. Step 4: Simplify right side
    6,284.78x = 32,666,977.87
  5. Step 5: Solve for x
    x = 32,666,977.87/6,284.78
  6. Step 6: Final answer
    x = 5,197.80

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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.