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Finding the Fourth Proportional to 9,161.04, 13,744.04 and 3,896.32

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Solution

The fourth proportional to 9,161.04, 13,744.04 and 3,896.32 is: 5,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.04 : 13,744.04 = 3,896.32 : x
  2. Step 2: Convert to fraction form
    9,161.04/13,744.04 = 3,896.32/x
  3. Step 3: Cross multiply
    9,161.04x = 13,744.04 × 3,896.32
  4. Step 4: Simplify right side
    9,161.04x = 53,551,177.93
  5. Step 5: Solve for x
    x = 53,551,177.93/9,161.04
  6. Step 6: Final answer
    x = 5,845.53

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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.