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Finding the Fourth Proportional to 9,202.93, 13,812.27 and 3,660.18

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Solution

The fourth proportional to 9,202.93, 13,812.27 and 3,660.18 is: 5,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.93 : 13,812.27 = 3,660.18 : x
  2. Step 2: Convert to fraction form
    9,202.93/13,812.27 = 3,660.18/x
  3. Step 3: Cross multiply
    9,202.93x = 13,812.27 × 3,660.18
  4. Step 4: Simplify right side
    9,202.93x = 50,555,394.41
  5. Step 5: Solve for x
    x = 50,555,394.41/9,202.93
  6. Step 6: Final answer
    x = 5,493.40

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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.