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Finding the Fourth Proportional to 6,209.14, 8,568.02 and 5,033.02

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Solution

The fourth proportional to 6,209.14, 8,568.02 and 5,033.02 is: 6,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.14 : 8,568.02 = 5,033.02 : x
  2. Step 2: Convert to fraction form
    6,209.14/8,568.02 = 5,033.02/x
  3. Step 3: Cross multiply
    6,209.14x = 8,568.02 × 5,033.02
  4. Step 4: Simplify right side
    6,209.14x = 43,123,016.02
  5. Step 5: Solve for x
    x = 43,123,016.02/6,209.14
  6. Step 6: Final answer
    x = 6,945.09

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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.