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Finding the Fourth Proportional to 6,091.97, 9,137.96 and 1,474.97

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Solution

The fourth proportional to 6,091.97, 9,137.96 and 1,474.97 is: 2,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.97 : 9,137.96 = 1,474.97 : x
  2. Step 2: Convert to fraction form
    6,091.97/9,137.96 = 1,474.97/x
  3. Step 3: Cross multiply
    6,091.97x = 9,137.96 × 1,474.97
  4. Step 4: Simplify right side
    6,091.97x = 13,478,243.39
  5. Step 5: Solve for x
    x = 13,478,243.39/6,091.97
  6. Step 6: Final answer
    x = 2,212.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.