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Finding the Fourth Proportional to 9,688.44, 13,282.97 and 9,513.48

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Solution

The fourth proportional to 9,688.44, 13,282.97 and 9,513.48 is: 13,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.44 : 13,282.97 = 9,513.48 : x
  2. Step 2: Convert to fraction form
    9,688.44/13,282.97 = 9,513.48/x
  3. Step 3: Cross multiply
    9,688.44x = 13,282.97 × 9,513.48
  4. Step 4: Simplify right side
    9,688.44x = 126,367,221.87
  5. Step 5: Solve for x
    x = 126,367,221.87/9,688.44
  6. Step 6: Final answer
    x = 13,043.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.