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Finding the Fourth Proportional to 9,227.25, 12,736.71 and 6,001.41

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Solution

The fourth proportional to 9,227.25, 12,736.71 and 6,001.41 is: 8,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.25 : 12,736.71 = 6,001.41 : x
  2. Step 2: Convert to fraction form
    9,227.25/12,736.71 = 6,001.41/x
  3. Step 3: Cross multiply
    9,227.25x = 12,736.71 × 6,001.41
  4. Step 4: Simplify right side
    9,227.25x = 76,438,218.76
  5. Step 5: Solve for x
    x = 76,438,218.76/9,227.25
  6. Step 6: Final answer
    x = 8,283.97

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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.