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Finding the Fourth Proportional to 9,497.92, 13,107.04 and 5,249.26

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Solution

The fourth proportional to 9,497.92, 13,107.04 and 5,249.26 is: 7,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.92 : 13,107.04 = 5,249.26 : x
  2. Step 2: Convert to fraction form
    9,497.92/13,107.04 = 5,249.26/x
  3. Step 3: Cross multiply
    9,497.92x = 13,107.04 × 5,249.26
  4. Step 4: Simplify right side
    9,497.92x = 68,802,234.54
  5. Step 5: Solve for x
    x = 68,802,234.54/9,497.92
  6. Step 6: Final answer
    x = 7,243.93

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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.