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Finding the Fourth Proportional to 9,694.21, 13,383.09 and 6,524.18

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Solution

The fourth proportional to 9,694.21, 13,383.09 and 6,524.18 is: 9,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.21 : 13,383.09 = 6,524.18 : x
  2. Step 2: Convert to fraction form
    9,694.21/13,383.09 = 6,524.18/x
  3. Step 3: Cross multiply
    9,694.21x = 13,383.09 × 6,524.18
  4. Step 4: Simplify right side
    9,694.21x = 87,313,588.58
  5. Step 5: Solve for x
    x = 87,313,588.58/9,694.21
  6. Step 6: Final answer
    x = 9,006.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.