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Finding the Fourth Proportional to 6,194.97, 9,293.06 and 2,034.81

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Solution

The fourth proportional to 6,194.97, 9,293.06 and 2,034.81 is: 3,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.97 : 9,293.06 = 2,034.81 : x
  2. Step 2: Convert to fraction form
    6,194.97/9,293.06 = 2,034.81/x
  3. Step 3: Cross multiply
    6,194.97x = 9,293.06 × 2,034.81
  4. Step 4: Simplify right side
    6,194.97x = 18,909,601.24
  5. Step 5: Solve for x
    x = 18,909,601.24/6,194.97
  6. Step 6: Final answer
    x = 3,052.41

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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.