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Finding the Fourth Proportional to 9,393, 12,963.29 and 5,201.25

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Solution

The fourth proportional to 9,393, 12,963.29 and 5,201.25 is: 7,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393 : 12,963.29 = 5,201.25 : x
  2. Step 2: Convert to fraction form
    9,393/12,963.29 = 5,201.25/x
  3. Step 3: Cross multiply
    9,393x = 12,963.29 × 5,201.25
  4. Step 4: Simplify right side
    9,393x = 67,425,286.11
  5. Step 5: Solve for x
    x = 67,425,286.11/9,393
  6. Step 6: Final answer
    x = 7,178.25

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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.