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Finding the Fourth Proportional to 6,183.62, 9,264.62 and 5,150.26

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Solution

The fourth proportional to 6,183.62, 9,264.62 and 5,150.26 is: 7,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.62 : 9,264.62 = 5,150.26 : x
  2. Step 2: Convert to fraction form
    6,183.62/9,264.62 = 5,150.26/x
  3. Step 3: Cross multiply
    6,183.62x = 9,264.62 × 5,150.26
  4. Step 4: Simplify right side
    6,183.62x = 47,715,191.52
  5. Step 5: Solve for x
    x = 47,715,191.52/6,183.62
  6. Step 6: Final answer
    x = 7,716.39

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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.