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Finding the Fourth Proportional to 6,767.00, 9,338.12 and 3,782.81

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Solution

The fourth proportional to 6,767.00, 9,338.12 and 3,782.81 is: 5,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.00 : 9,338.12 = 3,782.81 : x
  2. Step 2: Convert to fraction form
    6,767.00/9,338.12 = 3,782.81/x
  3. Step 3: Cross multiply
    6,767.00x = 9,338.12 × 3,782.81
  4. Step 4: Simplify right side
    6,767.00x = 35,324,287.03
  5. Step 5: Solve for x
    x = 35,324,287.03/6,767.00
  6. Step 6: Final answer
    x = 5,220.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.