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Finding the Fourth Proportional to 8,529.67, 12,778.91 and 6,183.85

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Solution

The fourth proportional to 8,529.67, 12,778.91 and 6,183.85 is: 9,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.67 : 12,778.91 = 6,183.85 : x
  2. Step 2: Convert to fraction form
    8,529.67/12,778.91 = 6,183.85/x
  3. Step 3: Cross multiply
    8,529.67x = 12,778.91 × 6,183.85
  4. Step 4: Simplify right side
    8,529.67x = 79,022,862.60
  5. Step 5: Solve for x
    x = 79,022,862.60/8,529.67
  6. Step 6: Final answer
    x = 9,264.47

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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.