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Finding the Fourth Proportional to 9,497.82, 13,106.76 and 5,249.22

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Solution

The fourth proportional to 9,497.82, 13,106.76 and 5,249.22 is: 7,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.82 : 13,106.76 = 5,249.22 : x
  2. Step 2: Convert to fraction form
    9,497.82/13,106.76 = 5,249.22/x
  3. Step 3: Cross multiply
    9,497.82x = 13,106.76 × 5,249.22
  4. Step 4: Simplify right side
    9,497.82x = 68,800,266.73
  5. Step 5: Solve for x
    x = 68,800,266.73/9,497.82
  6. Step 6: Final answer
    x = 7,243.80

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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.