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Finding the Fourth Proportional to 9,891.08, 13,649.92 and 5,911.46

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Solution

The fourth proportional to 9,891.08, 13,649.92 and 5,911.46 is: 8,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.08 : 13,649.92 = 5,911.46 : x
  2. Step 2: Convert to fraction form
    9,891.08/13,649.92 = 5,911.46/x
  3. Step 3: Cross multiply
    9,891.08x = 13,649.92 × 5,911.46
  4. Step 4: Simplify right side
    9,891.08x = 80,690,956.08
  5. Step 5: Solve for x
    x = 80,690,956.08/9,891.08
  6. Step 6: Final answer
    x = 8,157.95

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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.