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Finding the Fourth Proportional to 6,194.56, 9,290.52 and 2,035.06

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Solution

The fourth proportional to 6,194.56, 9,290.52 and 2,035.06 is: 3,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.56 : 9,290.52 = 2,035.06 : x
  2. Step 2: Convert to fraction form
    6,194.56/9,290.52 = 2,035.06/x
  3. Step 3: Cross multiply
    6,194.56x = 9,290.52 × 2,035.06
  4. Step 4: Simplify right side
    6,194.56x = 18,906,765.63
  5. Step 5: Solve for x
    x = 18,906,765.63/6,194.56
  6. Step 6: Final answer
    x = 3,052.16

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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.