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Finding the Fourth Proportional to 6,422.32, 9,633 and 3,823

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Solution

The fourth proportional to 6,422.32, 9,633 and 3,823 is: 5,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.32 : 9,633 = 3,823 : x
  2. Step 2: Convert to fraction form
    6,422.32/9,633 = 3,823/x
  3. Step 3: Cross multiply
    6,422.32x = 9,633 × 3,823
  4. Step 4: Simplify right side
    6,422.32x = 36,826,959
  5. Step 5: Solve for x
    x = 36,826,959/6,422.32
  6. Step 6: Final answer
    x = 5,734.21

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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.