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Finding the Fourth Proportional to 6,114.97, 9,171.91 and 2,219.41

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Solution

The fourth proportional to 6,114.97, 9,171.91 and 2,219.41 is: 3,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.97 : 9,171.91 = 2,219.41 : x
  2. Step 2: Convert to fraction form
    6,114.97/9,171.91 = 2,219.41/x
  3. Step 3: Cross multiply
    6,114.97x = 9,171.91 × 2,219.41
  4. Step 4: Simplify right side
    6,114.97x = 20,356,228.77
  5. Step 5: Solve for x
    x = 20,356,228.77/6,114.97
  6. Step 6: Final answer
    x = 3,328.92

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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.