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Finding the Fourth Proportional to 9,202.96, 13,806.64 and 2,963.56

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Solution

The fourth proportional to 9,202.96, 13,806.64 and 2,963.56 is: 4,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.96 : 13,806.64 = 2,963.56 : x
  2. Step 2: Convert to fraction form
    9,202.96/13,806.64 = 2,963.56/x
  3. Step 3: Cross multiply
    9,202.96x = 13,806.64 × 2,963.56
  4. Step 4: Simplify right side
    9,202.96x = 40,916,806.04
  5. Step 5: Solve for x
    x = 40,916,806.04/9,202.96
  6. Step 6: Final answer
    x = 4,446.05

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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.