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Finding the Fourth Proportional to 9,542.58, 13,166.67 and 9,227.94

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Solution

The fourth proportional to 9,542.58, 13,166.67 and 9,227.94 is: 12,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.58 : 13,166.67 = 9,227.94 : x
  2. Step 2: Convert to fraction form
    9,542.58/13,166.67 = 9,227.94/x
  3. Step 3: Cross multiply
    9,542.58x = 13,166.67 × 9,227.94
  4. Step 4: Simplify right side
    9,542.58x = 121,501,240.76
  5. Step 5: Solve for x
    x = 121,501,240.76/9,542.58
  6. Step 6: Final answer
    x = 12,732.54

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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.