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Finding the Fourth Proportional to 8,963.64, 13,447.26 and 3,769.50

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Solution

The fourth proportional to 8,963.64, 13,447.26 and 3,769.50 is: 5,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.64 : 13,447.26 = 3,769.50 : x
  2. Step 2: Convert to fraction form
    8,963.64/13,447.26 = 3,769.50/x
  3. Step 3: Cross multiply
    8,963.64x = 13,447.26 × 3,769.50
  4. Step 4: Simplify right side
    8,963.64x = 50,689,446.57
  5. Step 5: Solve for x
    x = 50,689,446.57/8,963.64
  6. Step 6: Final answer
    x = 5,655.01

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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.