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Finding the Fourth Proportional to 6,013.71, 9,022.39 and 3,202.07

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Solution

The fourth proportional to 6,013.71, 9,022.39 and 3,202.07 is: 4,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.71 : 9,022.39 = 3,202.07 : x
  2. Step 2: Convert to fraction form
    6,013.71/9,022.39 = 3,202.07/x
  3. Step 3: Cross multiply
    6,013.71x = 9,022.39 × 3,202.07
  4. Step 4: Simplify right side
    6,013.71x = 28,890,324.35
  5. Step 5: Solve for x
    x = 28,890,324.35/6,013.71
  6. Step 6: Final answer
    x = 4,804.08

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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.