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Finding the Fourth Proportional to 9,496.81, 14,231.83 and 4,493.85

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Solution

The fourth proportional to 9,496.81, 14,231.83 and 4,493.85 is: 6,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.81 : 14,231.83 = 4,493.85 : x
  2. Step 2: Convert to fraction form
    9,496.81/14,231.83 = 4,493.85/x
  3. Step 3: Cross multiply
    9,496.81x = 14,231.83 × 4,493.85
  4. Step 4: Simplify right side
    9,496.81x = 63,955,709.25
  5. Step 5: Solve for x
    x = 63,955,709.25/9,496.81
  6. Step 6: Final answer
    x = 6,734.44

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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.