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Finding the Fourth Proportional to 9,732.73, 13,422.21 and 6,496.86

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Solution

The fourth proportional to 9,732.73, 13,422.21 and 6,496.86 is: 8,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.73 : 13,422.21 = 6,496.86 : x
  2. Step 2: Convert to fraction form
    9,732.73/13,422.21 = 6,496.86/x
  3. Step 3: Cross multiply
    9,732.73x = 13,422.21 × 6,496.86
  4. Step 4: Simplify right side
    9,732.73x = 87,202,169.73
  5. Step 5: Solve for x
    x = 87,202,169.73/9,732.73
  6. Step 6: Final answer
    x = 8,959.68

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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.