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Finding the Fourth Proportional to 9,270.41, 12,794.94 and 7,249.82

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Solution

The fourth proportional to 9,270.41, 12,794.94 and 7,249.82 is: 10,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.41 : 12,794.94 = 7,249.82 : x
  2. Step 2: Convert to fraction form
    9,270.41/12,794.94 = 7,249.82/x
  3. Step 3: Cross multiply
    9,270.41x = 12,794.94 × 7,249.82
  4. Step 4: Simplify right side
    9,270.41x = 92,761,011.91
  5. Step 5: Solve for x
    x = 92,761,011.91/9,270.41
  6. Step 6: Final answer
    x = 10,006.14

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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.