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Finding the Fourth Proportional to 9,084.80, 12,533.78 and 5,942.80

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Solution

The fourth proportional to 9,084.80, 12,533.78 and 5,942.80 is: 8,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.80 : 12,533.78 = 5,942.80 : x
  2. Step 2: Convert to fraction form
    9,084.80/12,533.78 = 5,942.80/x
  3. Step 3: Cross multiply
    9,084.80x = 12,533.78 × 5,942.80
  4. Step 4: Simplify right side
    9,084.80x = 74,485,747.78
  5. Step 5: Solve for x
    x = 74,485,747.78/9,084.80
  6. Step 6: Final answer
    x = 8,198.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.