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Finding the Fourth Proportional to 8,769.34, 13,155.73 and 3,222.73

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Solution

The fourth proportional to 8,769.34, 13,155.73 and 3,222.73 is: 4,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.34 : 13,155.73 = 3,222.73 : x
  2. Step 2: Convert to fraction form
    8,769.34/13,155.73 = 3,222.73/x
  3. Step 3: Cross multiply
    8,769.34x = 13,155.73 × 3,222.73
  4. Step 4: Simplify right side
    8,769.34x = 42,397,374.13
  5. Step 5: Solve for x
    x = 42,397,374.13/8,769.34
  6. Step 6: Final answer
    x = 4,834.73

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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.