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Finding the Fourth Proportional to 6,441.81, 9,665.49 and 3,479.67

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Solution

The fourth proportional to 6,441.81, 9,665.49 and 3,479.67 is: 5,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.81 : 9,665.49 = 3,479.67 : x
  2. Step 2: Convert to fraction form
    6,441.81/9,665.49 = 3,479.67/x
  3. Step 3: Cross multiply
    6,441.81x = 9,665.49 × 3,479.67
  4. Step 4: Simplify right side
    6,441.81x = 33,632,715.59
  5. Step 5: Solve for x
    x = 33,632,715.59/6,441.81
  6. Step 6: Final answer
    x = 5,221.00

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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.