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Finding the Fourth Proportional to 6,116.70, 9,169.55 and 2,218.38

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Solution

The fourth proportional to 6,116.70, 9,169.55 and 2,218.38 is: 3,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.70 : 9,169.55 = 2,218.38 : x
  2. Step 2: Convert to fraction form
    6,116.70/9,169.55 = 2,218.38/x
  3. Step 3: Cross multiply
    6,116.70x = 9,169.55 × 2,218.38
  4. Step 4: Simplify right side
    6,116.70x = 20,341,546.33
  5. Step 5: Solve for x
    x = 20,341,546.33/6,116.70
  6. Step 6: Final answer
    x = 3,325.58

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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.