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Finding the Fourth Proportional to 9,694.71, 13,383.77 and 6,524.67

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Solution

The fourth proportional to 9,694.71, 13,383.77 and 6,524.67 is: 9,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.71 : 13,383.77 = 6,524.67 : x
  2. Step 2: Convert to fraction form
    9,694.71/13,383.77 = 6,524.67/x
  3. Step 3: Cross multiply
    9,694.71x = 13,383.77 × 6,524.67
  4. Step 4: Simplify right side
    9,694.71x = 87,324,682.61
  5. Step 5: Solve for x
    x = 87,324,682.61/9,694.71
  6. Step 6: Final answer
    x = 9,007.46

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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.