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Finding the Fourth Proportional to 6,183.57, 9,263.01 and 3,717.06

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Solution

The fourth proportional to 6,183.57, 9,263.01 and 3,717.06 is: 5,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.57 : 9,263.01 = 3,717.06 : x
  2. Step 2: Convert to fraction form
    6,183.57/9,263.01 = 3,717.06/x
  3. Step 3: Cross multiply
    6,183.57x = 9,263.01 × 3,717.06
  4. Step 4: Simplify right side
    6,183.57x = 34,431,163.95
  5. Step 5: Solve for x
    x = 34,431,163.95/6,183.57
  6. Step 6: Final answer
    x = 5,568.17

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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.