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Finding the Fourth Proportional to 6,372.86, 9,555.84 and 3,082.77

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Solution

The fourth proportional to 6,372.86, 9,555.84 and 3,082.77 is: 4,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.86 : 9,555.84 = 3,082.77 : x
  2. Step 2: Convert to fraction form
    6,372.86/9,555.84 = 3,082.77/x
  3. Step 3: Cross multiply
    6,372.86x = 9,555.84 × 3,082.77
  4. Step 4: Simplify right side
    6,372.86x = 29,458,456.88
  5. Step 5: Solve for x
    x = 29,458,456.88/6,372.86
  6. Step 6: Final answer
    x = 4,622.49

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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.