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Finding the Fourth Proportional to 9,236.16, 13,857 and 2,662.44

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Solution

The fourth proportional to 9,236.16, 13,857 and 2,662.44 is: 3,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.16 : 13,857 = 2,662.44 : x
  2. Step 2: Convert to fraction form
    9,236.16/13,857 = 2,662.44/x
  3. Step 3: Cross multiply
    9,236.16x = 13,857 × 2,662.44
  4. Step 4: Simplify right side
    9,236.16x = 36,893,431.08
  5. Step 5: Solve for x
    x = 36,893,431.08/9,236.16
  6. Step 6: Final answer
    x = 3,994.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.