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Finding the Fourth Proportional to 6,665.36, 9,198.15 and 3,681.40

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Solution

The fourth proportional to 6,665.36, 9,198.15 and 3,681.40 is: 5,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.36 : 9,198.15 = 3,681.40 : x
  2. Step 2: Convert to fraction form
    6,665.36/9,198.15 = 3,681.40/x
  3. Step 3: Cross multiply
    6,665.36x = 9,198.15 × 3,681.40
  4. Step 4: Simplify right side
    6,665.36x = 33,862,067.10
  5. Step 5: Solve for x
    x = 33,862,067.10/6,665.36
  6. Step 6: Final answer
    x = 5,080.30

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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.