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Finding the Fourth Proportional to 9,739, 14,601.21 and 3,161.26

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Solution

The fourth proportional to 9,739, 14,601.21 and 3,161.26 is: 4,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739 : 14,601.21 = 3,161.26 : x
  2. Step 2: Convert to fraction form
    9,739/14,601.21 = 3,161.26/x
  3. Step 3: Cross multiply
    9,739x = 14,601.21 × 3,161.26
  4. Step 4: Simplify right side
    9,739x = 46,158,221.12
  5. Step 5: Solve for x
    x = 46,158,221.12/9,739
  6. Step 6: Final answer
    x = 4,739.52

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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.