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Finding the Fourth Proportional to 6,099.06, 9,149.94 and 1,940.34

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Solution

The fourth proportional to 6,099.06, 9,149.94 and 1,940.34 is: 2,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.06 : 9,149.94 = 1,940.34 : x
  2. Step 2: Convert to fraction form
    6,099.06/9,149.94 = 1,940.34/x
  3. Step 3: Cross multiply
    6,099.06x = 9,149.94 × 1,940.34
  4. Step 4: Simplify right side
    6,099.06x = 17,753,994.58
  5. Step 5: Solve for x
    x = 17,753,994.58/6,099.06
  6. Step 6: Final answer
    x = 2,910.94

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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.