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Finding the Fourth Proportional to 9,126.64, 13,694.10 and 3,863.08

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Solution

The fourth proportional to 9,126.64, 13,694.10 and 3,863.08 is: 5,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.64 : 13,694.10 = 3,863.08 : x
  2. Step 2: Convert to fraction form
    9,126.64/13,694.10 = 3,863.08/x
  3. Step 3: Cross multiply
    9,126.64x = 13,694.10 × 3,863.08
  4. Step 4: Simplify right side
    9,126.64x = 52,901,403.83
  5. Step 5: Solve for x
    x = 52,901,403.83/9,126.64
  6. Step 6: Final answer
    x = 5,796.37

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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.