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Finding the Fourth Proportional to 8,902.20, 13,353.69 and 3,971.82

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Solution

The fourth proportional to 8,902.20, 13,353.69 and 3,971.82 is: 5,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.20 : 13,353.69 = 3,971.82 : x
  2. Step 2: Convert to fraction form
    8,902.20/13,353.69 = 3,971.82/x
  3. Step 3: Cross multiply
    8,902.20x = 13,353.69 × 3,971.82
  4. Step 4: Simplify right side
    8,902.20x = 53,038,453.02
  5. Step 5: Solve for x
    x = 53,038,453.02/8,902.20
  6. Step 6: Final answer
    x = 5,957.90

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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.