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Finding the Fourth Proportional to 9,644.54, 14,467.97 and 3,403.27

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Solution

The fourth proportional to 9,644.54, 14,467.97 and 3,403.27 is: 5,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.54 : 14,467.97 = 3,403.27 : x
  2. Step 2: Convert to fraction form
    9,644.54/14,467.97 = 3,403.27/x
  3. Step 3: Cross multiply
    9,644.54x = 14,467.97 × 3,403.27
  4. Step 4: Simplify right side
    9,644.54x = 49,238,347.09
  5. Step 5: Solve for x
    x = 49,238,347.09/9,644.54
  6. Step 6: Final answer
    x = 5,105.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.