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Finding the Fourth Proportional to 6,113.37, 9,171.41 and 2,217.68

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Solution

The fourth proportional to 6,113.37, 9,171.41 and 2,217.68 is: 3,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.37 : 9,171.41 = 2,217.68 : x
  2. Step 2: Convert to fraction form
    6,113.37/9,171.41 = 2,217.68/x
  3. Step 3: Cross multiply
    6,113.37x = 9,171.41 × 2,217.68
  4. Step 4: Simplify right side
    6,113.37x = 20,339,252.53
  5. Step 5: Solve for x
    x = 20,339,252.53/6,113.37
  6. Step 6: Final answer
    x = 3,327.01

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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.