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Finding the Fourth Proportional to 9,235.28, 12,744.42 and 5,202.02

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Solution

The fourth proportional to 9,235.28, 12,744.42 and 5,202.02 is: 7,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.28 : 12,744.42 = 5,202.02 : x
  2. Step 2: Convert to fraction form
    9,235.28/12,744.42 = 5,202.02/x
  3. Step 3: Cross multiply
    9,235.28x = 12,744.42 × 5,202.02
  4. Step 4: Simplify right side
    9,235.28x = 66,296,727.73
  5. Step 5: Solve for x
    x = 66,296,727.73/9,235.28
  6. Step 6: Final answer
    x = 7,178.64

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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.