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Finding the Fourth Proportional to 9,168.66, 13,720.14 and 7,940.28

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Solution

The fourth proportional to 9,168.66, 13,720.14 and 7,940.28 is: 11,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.66 : 13,720.14 = 7,940.28 : x
  2. Step 2: Convert to fraction form
    9,168.66/13,720.14 = 7,940.28/x
  3. Step 3: Cross multiply
    9,168.66x = 13,720.14 × 7,940.28
  4. Step 4: Simplify right side
    9,168.66x = 108,941,753.24
  5. Step 5: Solve for x
    x = 108,941,753.24/9,168.66
  6. Step 6: Final answer
    x = 11,881.97

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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.