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Finding the Fourth Proportional to 8,972.94, 13,452.84 and 4,227.48

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Solution

The fourth proportional to 8,972.94, 13,452.84 and 4,227.48 is: 6,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.94 : 13,452.84 = 4,227.48 : x
  2. Step 2: Convert to fraction form
    8,972.94/13,452.84 = 4,227.48/x
  3. Step 3: Cross multiply
    8,972.94x = 13,452.84 × 4,227.48
  4. Step 4: Simplify right side
    8,972.94x = 56,871,612.04
  5. Step 5: Solve for x
    x = 56,871,612.04/8,972.94
  6. Step 6: Final answer
    x = 6,338.12

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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.