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Finding the Fourth Proportional to 8,438.99, 11,632.82 and 6,944.27

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Solution

The fourth proportional to 8,438.99, 11,632.82 and 6,944.27 is: 9,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.99 : 11,632.82 = 6,944.27 : x
  2. Step 2: Convert to fraction form
    8,438.99/11,632.82 = 6,944.27/x
  3. Step 3: Cross multiply
    8,438.99x = 11,632.82 × 6,944.27
  4. Step 4: Simplify right side
    8,438.99x = 80,781,350.06
  5. Step 5: Solve for x
    x = 80,781,350.06/8,438.99
  6. Step 6: Final answer
    x = 9,572.40

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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.