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Finding the Fourth Proportional to 6,400.17, 8,832.78 and 3,712.37

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Solution

The fourth proportional to 6,400.17, 8,832.78 and 3,712.37 is: 5,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.17 : 8,832.78 = 3,712.37 : x
  2. Step 2: Convert to fraction form
    6,400.17/8,832.78 = 3,712.37/x
  3. Step 3: Cross multiply
    6,400.17x = 8,832.78 × 3,712.37
  4. Step 4: Simplify right side
    6,400.17x = 32,790,503.32
  5. Step 5: Solve for x
    x = 32,790,503.32/6,400.17
  6. Step 6: Final answer
    x = 5,123.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.