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Finding the Fourth Proportional to 9,393.50, 12,963.98 and 5,201.75

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Solution

The fourth proportional to 9,393.50, 12,963.98 and 5,201.75 is: 7,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.50 : 12,963.98 = 5,201.75 : x
  2. Step 2: Convert to fraction form
    9,393.50/12,963.98 = 5,201.75/x
  3. Step 3: Cross multiply
    9,393.50x = 12,963.98 × 5,201.75
  4. Step 4: Simplify right side
    9,393.50x = 67,435,356.96
  5. Step 5: Solve for x
    x = 67,435,356.96/9,393.50
  6. Step 6: Final answer
    x = 7,178.94

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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.