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Finding the Fourth Proportional to 9,393.78, 12,963.82 and 5,202.03

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Solution

The fourth proportional to 9,393.78, 12,963.82 and 5,202.03 is: 7,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.78 : 12,963.82 = 5,202.03 : x
  2. Step 2: Convert to fraction form
    9,393.78/12,963.82 = 5,202.03/x
  3. Step 3: Cross multiply
    9,393.78x = 12,963.82 × 5,202.03
  4. Step 4: Simplify right side
    9,393.78x = 67,438,180.55
  5. Step 5: Solve for x
    x = 67,438,180.55/9,393.78
  6. Step 6: Final answer
    x = 7,179.02

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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.