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Finding the Fourth Proportional to 6,198.26, 9,289.08 and 5,164.83

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Solution

The fourth proportional to 6,198.26, 9,289.08 and 5,164.83 is: 7,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.26 : 9,289.08 = 5,164.83 : x
  2. Step 2: Convert to fraction form
    6,198.26/9,289.08 = 5,164.83/x
  3. Step 3: Cross multiply
    6,198.26x = 9,289.08 × 5,164.83
  4. Step 4: Simplify right side
    6,198.26x = 47,976,519.06
  5. Step 5: Solve for x
    x = 47,976,519.06/6,198.26
  6. Step 6: Final answer
    x = 7,740.33

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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.