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Finding the Fourth Proportional to 9,890.57, 13,648.37 and 5,414.31

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Solution

The fourth proportional to 9,890.57, 13,648.37 and 5,414.31 is: 7,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.57 : 13,648.37 = 5,414.31 : x
  2. Step 2: Convert to fraction form
    9,890.57/13,648.37 = 5,414.31/x
  3. Step 3: Cross multiply
    9,890.57x = 13,648.37 × 5,414.31
  4. Step 4: Simplify right side
    9,890.57x = 73,896,479.10
  5. Step 5: Solve for x
    x = 73,896,479.10/9,890.57
  6. Step 6: Final answer
    x = 7,471.41

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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.