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Finding the Fourth Proportional to 8,906.72, 13,355.67 and 5,209.88

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Solution

The fourth proportional to 8,906.72, 13,355.67 and 5,209.88 is: 7,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.72 : 13,355.67 = 5,209.88 : x
  2. Step 2: Convert to fraction form
    8,906.72/13,355.67 = 5,209.88/x
  3. Step 3: Cross multiply
    8,906.72x = 13,355.67 × 5,209.88
  4. Step 4: Simplify right side
    8,906.72x = 69,581,438.02
  5. Step 5: Solve for x
    x = 69,581,438.02/8,906.72
  6. Step 6: Final answer
    x = 7,812.24

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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.