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Finding the Fourth Proportional to 8,906.11, 13,354.66 and 5,209.54

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Solution

The fourth proportional to 8,906.11, 13,354.66 and 5,209.54 is: 7,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.11 : 13,354.66 = 5,209.54 : x
  2. Step 2: Convert to fraction form
    8,906.11/13,354.66 = 5,209.54/x
  3. Step 3: Cross multiply
    8,906.11x = 13,354.66 × 5,209.54
  4. Step 4: Simplify right side
    8,906.11x = 69,571,635.46
  5. Step 5: Solve for x
    x = 69,571,635.46/8,906.11
  6. Step 6: Final answer
    x = 7,811.67

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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.