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Finding the Fourth Proportional to 6,665.64, 9,198.42 and 3,681.45

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Solution

The fourth proportional to 6,665.64, 9,198.42 and 3,681.45 is: 5,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.64 : 9,198.42 = 3,681.45 : x
  2. Step 2: Convert to fraction form
    6,665.64/9,198.42 = 3,681.45/x
  3. Step 3: Cross multiply
    6,665.64x = 9,198.42 × 3,681.45
  4. Step 4: Simplify right side
    6,665.64x = 33,863,491.11
  5. Step 5: Solve for x
    x = 33,863,491.11/6,665.64
  6. Step 6: Final answer
    x = 5,080.31

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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.