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Finding the Fourth Proportional to 6,694.11, 9,238.30 and 3,862.00

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Solution

The fourth proportional to 6,694.11, 9,238.30 and 3,862.00 is: 5,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.11 : 9,238.30 = 3,862.00 : x
  2. Step 2: Convert to fraction form
    6,694.11/9,238.30 = 3,862.00/x
  3. Step 3: Cross multiply
    6,694.11x = 9,238.30 × 3,862.00
  4. Step 4: Simplify right side
    6,694.11x = 35,678,316.49
  5. Step 5: Solve for x
    x = 35,678,316.49/6,694.11
  6. Step 6: Final answer
    x = 5,329.81

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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.