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Finding the Fourth Proportional to 9,270.82, 12,782.25 and 6,122.02

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Solution

The fourth proportional to 9,270.82, 12,782.25 and 6,122.02 is: 8,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.82 : 12,782.25 = 6,122.02 : x
  2. Step 2: Convert to fraction form
    9,270.82/12,782.25 = 6,122.02/x
  3. Step 3: Cross multiply
    9,270.82x = 12,782.25 × 6,122.02
  4. Step 4: Simplify right side
    9,270.82x = 78,253,190.15
  5. Step 5: Solve for x
    x = 78,253,190.15/9,270.82
  6. Step 6: Final answer
    x = 8,440.81

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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.