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Finding the Fourth Proportional to 9,493.29, 14,231.84 and 6,711.21

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Solution

The fourth proportional to 9,493.29, 14,231.84 and 6,711.21 is: 10,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.29 : 14,231.84 = 6,711.21 : x
  2. Step 2: Convert to fraction form
    9,493.29/14,231.84 = 6,711.21/x
  3. Step 3: Cross multiply
    9,493.29x = 14,231.84 × 6,711.21
  4. Step 4: Simplify right side
    9,493.29x = 95,512,833.37
  5. Step 5: Solve for x
    x = 95,512,833.37/9,493.29
  6. Step 6: Final answer
    x = 10,061.09

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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.