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Finding the Fourth Proportional to 8,224.38, 12,307.20 and 6,027.66

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Solution

The fourth proportional to 8,224.38, 12,307.20 and 6,027.66 is: 9,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.38 : 12,307.20 = 6,027.66 : x
  2. Step 2: Convert to fraction form
    8,224.38/12,307.20 = 6,027.66/x
  3. Step 3: Cross multiply
    8,224.38x = 12,307.20 × 6,027.66
  4. Step 4: Simplify right side
    8,224.38x = 74,183,617.15
  5. Step 5: Solve for x
    x = 74,183,617.15/8,224.38
  6. Step 6: Final answer
    x = 9,019.96

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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.