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Finding the Fourth Proportional to 6,327.80, 9,491.65 and 1,647.80

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Solution

The fourth proportional to 6,327.80, 9,491.65 and 1,647.80 is: 2,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.80 : 9,491.65 = 1,647.80 : x
  2. Step 2: Convert to fraction form
    6,327.80/9,491.65 = 1,647.80/x
  3. Step 3: Cross multiply
    6,327.80x = 9,491.65 × 1,647.80
  4. Step 4: Simplify right side
    6,327.80x = 15,640,340.87
  5. Step 5: Solve for x
    x = 15,640,340.87/6,327.80
  6. Step 6: Final answer
    x = 2,471.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.