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Finding the Fourth Proportional to 9,940.34, 13,720.25 and 6,161.29

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Solution

The fourth proportional to 9,940.34, 13,720.25 and 6,161.29 is: 8,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.34 : 13,720.25 = 6,161.29 : x
  2. Step 2: Convert to fraction form
    9,940.34/13,720.25 = 6,161.29/x
  3. Step 3: Cross multiply
    9,940.34x = 13,720.25 × 6,161.29
  4. Step 4: Simplify right side
    9,940.34x = 84,534,439.12
  5. Step 5: Solve for x
    x = 84,534,439.12/9,940.34
  6. Step 6: Final answer
    x = 8,504.18

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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.