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Finding the Fourth Proportional to 9,186.28, 13,781.19 and 3,921.20

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Solution

The fourth proportional to 9,186.28, 13,781.19 and 3,921.20 is: 5,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.28 : 13,781.19 = 3,921.20 : x
  2. Step 2: Convert to fraction form
    9,186.28/13,781.19 = 3,921.20/x
  3. Step 3: Cross multiply
    9,186.28x = 13,781.19 × 3,921.20
  4. Step 4: Simplify right side
    9,186.28x = 54,038,802.23
  5. Step 5: Solve for x
    x = 54,038,802.23/9,186.28
  6. Step 6: Final answer
    x = 5,882.56

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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.