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Finding the Fourth Proportional to 9,227.06, 13,769.17 and 8,242.58

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Solution

The fourth proportional to 9,227.06, 13,769.17 and 8,242.58 is: 12,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.06 : 13,769.17 = 8,242.58 : x
  2. Step 2: Convert to fraction form
    9,227.06/13,769.17 = 8,242.58/x
  3. Step 3: Cross multiply
    9,227.06x = 13,769.17 × 8,242.58
  4. Step 4: Simplify right side
    9,227.06x = 113,493,485.26
  5. Step 5: Solve for x
    x = 113,493,485.26/9,227.06
  6. Step 6: Final answer
    x = 12,300.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.