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Finding the Fourth Proportional to 9,890.72, 13,649.19 and 5,414.48

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Solution

The fourth proportional to 9,890.72, 13,649.19 and 5,414.48 is: 7,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.72 : 13,649.19 = 5,414.48 : x
  2. Step 2: Convert to fraction form
    9,890.72/13,649.19 = 5,414.48/x
  3. Step 3: Cross multiply
    9,890.72x = 13,649.19 × 5,414.48
  4. Step 4: Simplify right side
    9,890.72x = 73,903,198.03
  5. Step 5: Solve for x
    x = 73,903,198.03/9,890.72
  6. Step 6: Final answer
    x = 7,471.97

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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.