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Finding the Fourth Proportional to 6,665.05, 9,197.71 and 3,681.08

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Solution

The fourth proportional to 6,665.05, 9,197.71 and 3,681.08 is: 5,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.05 : 9,197.71 = 3,681.08 : x
  2. Step 2: Convert to fraction form
    6,665.05/9,197.71 = 3,681.08/x
  3. Step 3: Cross multiply
    6,665.05x = 9,197.71 × 3,681.08
  4. Step 4: Simplify right side
    6,665.05x = 33,857,506.33
  5. Step 5: Solve for x
    x = 33,857,506.33/6,665.05
  6. Step 6: Final answer
    x = 5,079.86

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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.