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Finding the Fourth Proportional to 6,665.65, 9,198.60 and 3,681.68

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Solution

The fourth proportional to 6,665.65, 9,198.60 and 3,681.68 is: 5,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.65 : 9,198.60 = 3,681.68 : x
  2. Step 2: Convert to fraction form
    6,665.65/9,198.60 = 3,681.68/x
  3. Step 3: Cross multiply
    6,665.65x = 9,198.60 × 3,681.68
  4. Step 4: Simplify right side
    6,665.65x = 33,866,277.43
  5. Step 5: Solve for x
    x = 33,866,277.43/6,665.65
  6. Step 6: Final answer
    x = 5,080.72

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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.