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Finding the Fourth Proportional to 9,077.78, 13,608.42 and 3,233.02

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Solution

The fourth proportional to 9,077.78, 13,608.42 and 3,233.02 is: 4,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.78 : 13,608.42 = 3,233.02 : x
  2. Step 2: Convert to fraction form
    9,077.78/13,608.42 = 3,233.02/x
  3. Step 3: Cross multiply
    9,077.78x = 13,608.42 × 3,233.02
  4. Step 4: Simplify right side
    9,077.78x = 43,996,294.03
  5. Step 5: Solve for x
    x = 43,996,294.03/9,077.78
  6. Step 6: Final answer
    x = 4,846.59

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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.