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Finding the Fourth Proportional to 9,892.27, 13,650.99 and 5,911.03

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Solution

The fourth proportional to 9,892.27, 13,650.99 and 5,911.03 is: 8,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.27 : 13,650.99 = 5,911.03 : x
  2. Step 2: Convert to fraction form
    9,892.27/13,650.99 = 5,911.03/x
  3. Step 3: Cross multiply
    9,892.27x = 13,650.99 × 5,911.03
  4. Step 4: Simplify right side
    9,892.27x = 80,691,411.42
  5. Step 5: Solve for x
    x = 80,691,411.42/9,892.27
  6. Step 6: Final answer
    x = 8,157.02

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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.