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Finding the Fourth Proportional to 6,656.14, 9,185.42 and 3,672.10

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Solution

The fourth proportional to 6,656.14, 9,185.42 and 3,672.10 is: 5,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.14 : 9,185.42 = 3,672.10 : x
  2. Step 2: Convert to fraction form
    6,656.14/9,185.42 = 3,672.10/x
  3. Step 3: Cross multiply
    6,656.14x = 9,185.42 × 3,672.10
  4. Step 4: Simplify right side
    6,656.14x = 33,729,716.49
  5. Step 5: Solve for x
    x = 33,729,716.49/6,656.14
  6. Step 6: Final answer
    x = 5,067.46

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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.