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Finding the Fourth Proportional to 6,665.34, 9,198.48 and 3,681.60

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Solution

The fourth proportional to 6,665.34, 9,198.48 and 3,681.60 is: 5,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.34 : 9,198.48 = 3,681.60 : x
  2. Step 2: Convert to fraction form
    6,665.34/9,198.48 = 3,681.60/x
  3. Step 3: Cross multiply
    6,665.34x = 9,198.48 × 3,681.60
  4. Step 4: Simplify right side
    6,665.34x = 33,865,123.97
  5. Step 5: Solve for x
    x = 33,865,123.97/6,665.34
  6. Step 6: Final answer
    x = 5,080.78

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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.