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Finding the Fourth Proportional to 8,969.09, 13,451.83 and 8,524.52

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Solution

The fourth proportional to 8,969.09, 13,451.83 and 8,524.52 is: 12,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.09 : 13,451.83 = 8,524.52 : x
  2. Step 2: Convert to fraction form
    8,969.09/13,451.83 = 8,524.52/x
  3. Step 3: Cross multiply
    8,969.09x = 13,451.83 × 8,524.52
  4. Step 4: Simplify right side
    8,969.09x = 114,670,377.85
  5. Step 5: Solve for x
    x = 114,670,377.85/8,969.09
  6. Step 6: Final answer
    x = 12,785.06

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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.