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Finding the Fourth Proportional to 9,444.18, 14,222.49 and 8,226.30

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Solution

The fourth proportional to 9,444.18, 14,222.49 and 8,226.30 is: 12,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.18 : 14,222.49 = 8,226.30 : x
  2. Step 2: Convert to fraction form
    9,444.18/14,222.49 = 8,226.30/x
  3. Step 3: Cross multiply
    9,444.18x = 14,222.49 × 8,226.30
  4. Step 4: Simplify right side
    9,444.18x = 116,998,469.49
  5. Step 5: Solve for x
    x = 116,998,469.49/9,444.18
  6. Step 6: Final answer
    x = 12,388.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.