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Finding the Fourth Proportional to 6,675.74, 9,212.42 and 3,691.50

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Solution

The fourth proportional to 6,675.74, 9,212.42 and 3,691.50 is: 5,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.74 : 9,212.42 = 3,691.50 : x
  2. Step 2: Convert to fraction form
    6,675.74/9,212.42 = 3,691.50/x
  3. Step 3: Cross multiply
    6,675.74x = 9,212.42 × 3,691.50
  4. Step 4: Simplify right side
    6,675.74x = 34,007,629.97
  5. Step 5: Solve for x
    x = 34,007,629.97/6,675.74
  6. Step 6: Final answer
    x = 5,094.22

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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.