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Finding the Fourth Proportional to 9,600.14, 13,221.70 and 8,273.36

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Solution

The fourth proportional to 9,600.14, 13,221.70 and 8,273.36 is: 11,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.14 : 13,221.70 = 8,273.36 : x
  2. Step 2: Convert to fraction form
    9,600.14/13,221.70 = 8,273.36/x
  3. Step 3: Cross multiply
    9,600.14x = 13,221.70 × 8,273.36
  4. Step 4: Simplify right side
    9,600.14x = 109,387,883.91
  5. Step 5: Solve for x
    x = 109,387,883.91/9,600.14
  6. Step 6: Final answer
    x = 11,394.41

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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.