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Finding the Fourth Proportional to 9,202.74, 13,806.32 and 2,963.34

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Solution

The fourth proportional to 9,202.74, 13,806.32 and 2,963.34 is: 4,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.74 : 13,806.32 = 2,963.34 : x
  2. Step 2: Convert to fraction form
    9,202.74/13,806.32 = 2,963.34/x
  3. Step 3: Cross multiply
    9,202.74x = 13,806.32 × 2,963.34
  4. Step 4: Simplify right side
    9,202.74x = 40,912,805.49
  5. Step 5: Solve for x
    x = 40,912,805.49/9,202.74
  6. Step 6: Final answer
    x = 4,445.72

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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.