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Finding the Fourth Proportional to 9,327.42, 13,922.89 and 8,220.29

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Solution

The fourth proportional to 9,327.42, 13,922.89 and 8,220.29 is: 12,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.42 : 13,922.89 = 8,220.29 : x
  2. Step 2: Convert to fraction form
    9,327.42/13,922.89 = 8,220.29/x
  3. Step 3: Cross multiply
    9,327.42x = 13,922.89 × 8,220.29
  4. Step 4: Simplify right side
    9,327.42x = 114,450,103.27
  5. Step 5: Solve for x
    x = 114,450,103.27/9,327.42
  6. Step 6: Final answer
    x = 12,270.29

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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.