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Finding the Fourth Proportional to 6,218.83, 9,322.19 and 3,991.38

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Solution

The fourth proportional to 6,218.83, 9,322.19 and 3,991.38 is: 5,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.83 : 9,322.19 = 3,991.38 : x
  2. Step 2: Convert to fraction form
    6,218.83/9,322.19 = 3,991.38/x
  3. Step 3: Cross multiply
    6,218.83x = 9,322.19 × 3,991.38
  4. Step 4: Simplify right side
    6,218.83x = 37,208,362.77
  5. Step 5: Solve for x
    x = 37,208,362.77/6,218.83
  6. Step 6: Final answer
    x = 5,983.18

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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.