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Finding the Fourth Proportional to 9,891.28, 13,649.84 and 5,414.99

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Solution

The fourth proportional to 9,891.28, 13,649.84 and 5,414.99 is: 7,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.28 : 13,649.84 = 5,414.99 : x
  2. Step 2: Convert to fraction form
    9,891.28/13,649.84 = 5,414.99/x
  3. Step 3: Cross multiply
    9,891.28x = 13,649.84 × 5,414.99
  4. Step 4: Simplify right side
    9,891.28x = 73,913,744.90
  5. Step 5: Solve for x
    x = 73,913,744.90/9,891.28
  6. Step 6: Final answer
    x = 7,472.62

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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.