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Finding the Fourth Proportional to 6,266.30, 8,647.46 and 3,471.80

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Solution

The fourth proportional to 6,266.30, 8,647.46 and 3,471.80 is: 4,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.30 : 8,647.46 = 3,471.80 : x
  2. Step 2: Convert to fraction form
    6,266.30/8,647.46 = 3,471.80/x
  3. Step 3: Cross multiply
    6,266.30x = 8,647.46 × 3,471.80
  4. Step 4: Simplify right side
    6,266.30x = 30,022,251.63
  5. Step 5: Solve for x
    x = 30,022,251.63/6,266.30
  6. Step 6: Final answer
    x = 4,791.07

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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.