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Finding the Fourth Proportional to 9,806.32, 14,711.30 and 3,232.97

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Solution

The fourth proportional to 9,806.32, 14,711.30 and 3,232.97 is: 4,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.32 : 14,711.30 = 3,232.97 : x
  2. Step 2: Convert to fraction form
    9,806.32/14,711.30 = 3,232.97/x
  3. Step 3: Cross multiply
    9,806.32x = 14,711.30 × 3,232.97
  4. Step 4: Simplify right side
    9,806.32x = 47,561,191.56
  5. Step 5: Solve for x
    x = 47,561,191.56/9,806.32
  6. Step 6: Final answer
    x = 4,850.06

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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.