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Finding the Fourth Proportional to 6,366.22, 9,538.95 and 3,895.85

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Solution

The fourth proportional to 6,366.22, 9,538.95 and 3,895.85 is: 5,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.22 : 9,538.95 = 3,895.85 : x
  2. Step 2: Convert to fraction form
    6,366.22/9,538.95 = 3,895.85/x
  3. Step 3: Cross multiply
    6,366.22x = 9,538.95 × 3,895.85
  4. Step 4: Simplify right side
    6,366.22x = 37,162,321.70
  5. Step 5: Solve for x
    x = 37,162,321.70/6,366.22
  6. Step 6: Final answer
    x = 5,837.42

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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.