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Finding the Fourth Proportional to 9,213.84, 13,849.92 and 7,930.80

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Solution

The fourth proportional to 9,213.84, 13,849.92 and 7,930.80 is: 11,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.84 : 13,849.92 = 7,930.80 : x
  2. Step 2: Convert to fraction form
    9,213.84/13,849.92 = 7,930.80/x
  3. Step 3: Cross multiply
    9,213.84x = 13,849.92 × 7,930.80
  4. Step 4: Simplify right side
    9,213.84x = 109,840,945.54
  5. Step 5: Solve for x
    x = 109,840,945.54/9,213.84
  6. Step 6: Final answer
    x = 11,921.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.