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Finding the Fourth Proportional to 9,236.64, 13,853.40 and 2,661.30

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Solution

The fourth proportional to 9,236.64, 13,853.40 and 2,661.30 is: 3,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.64 : 13,853.40 = 2,661.30 : x
  2. Step 2: Convert to fraction form
    9,236.64/13,853.40 = 2,661.30/x
  3. Step 3: Cross multiply
    9,236.64x = 13,853.40 × 2,661.30
  4. Step 4: Simplify right side
    9,236.64x = 36,868,053.42
  5. Step 5: Solve for x
    x = 36,868,053.42/9,236.64
  6. Step 6: Final answer
    x = 3,991.50

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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.