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Finding the Fourth Proportional to 6,082.86, 9,133.83 and 3,628.62

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Solution

The fourth proportional to 6,082.86, 9,133.83 and 3,628.62 is: 5,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.86 : 9,133.83 = 3,628.62 : x
  2. Step 2: Convert to fraction form
    6,082.86/9,133.83 = 3,628.62/x
  3. Step 3: Cross multiply
    6,082.86x = 9,133.83 × 3,628.62
  4. Step 4: Simplify right side
    6,082.86x = 33,143,198.21
  5. Step 5: Solve for x
    x = 33,143,198.21/6,082.86
  6. Step 6: Final answer
    x = 5,448.63

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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.