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Finding the Fourth Proportional to 6,183.68, 9,275.91 and 2,024.12

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Solution

The fourth proportional to 6,183.68, 9,275.91 and 2,024.12 is: 3,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.68 : 9,275.91 = 2,024.12 : x
  2. Step 2: Convert to fraction form
    6,183.68/9,275.91 = 2,024.12/x
  3. Step 3: Cross multiply
    6,183.68x = 9,275.91 × 2,024.12
  4. Step 4: Simplify right side
    6,183.68x = 18,775,554.95
  5. Step 5: Solve for x
    x = 18,775,554.95/6,183.68
  6. Step 6: Final answer
    x = 3,036.31

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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.