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Finding the Fourth Proportional to 9,497.73, 13,106.81 and 5,249.08

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Solution

The fourth proportional to 9,497.73, 13,106.81 and 5,249.08 is: 7,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.73 : 13,106.81 = 5,249.08 : x
  2. Step 2: Convert to fraction form
    9,497.73/13,106.81 = 5,249.08/x
  3. Step 3: Cross multiply
    9,497.73x = 13,106.81 × 5,249.08
  4. Step 4: Simplify right side
    9,497.73x = 68,798,694.23
  5. Step 5: Solve for x
    x = 68,798,694.23/9,497.73
  6. Step 6: Final answer
    x = 7,243.70

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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.