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Finding the Fourth Proportional to 9,202.28, 13,803.86 and 2,629.42

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Solution

The fourth proportional to 9,202.28, 13,803.86 and 2,629.42 is: 3,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.28 : 13,803.86 = 2,629.42 : x
  2. Step 2: Convert to fraction form
    9,202.28/13,803.86 = 2,629.42/x
  3. Step 3: Cross multiply
    9,202.28x = 13,803.86 × 2,629.42
  4. Step 4: Simplify right side
    9,202.28x = 36,296,145.56
  5. Step 5: Solve for x
    x = 36,296,145.56/9,202.28
  6. Step 6: Final answer
    x = 3,944.26

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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.