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Finding the Fourth Proportional to 6,194.67, 9,294.73 and 2,504.10

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Solution

The fourth proportional to 6,194.67, 9,294.73 and 2,504.10 is: 3,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.67 : 9,294.73 = 2,504.10 : x
  2. Step 2: Convert to fraction form
    6,194.67/9,294.73 = 2,504.10/x
  3. Step 3: Cross multiply
    6,194.67x = 9,294.73 × 2,504.10
  4. Step 4: Simplify right side
    6,194.67x = 23,274,933.39
  5. Step 5: Solve for x
    x = 23,274,933.39/6,194.67
  6. Step 6: Final answer
    x = 3,757.25

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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.