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Finding the Fourth Proportional to 6,418.69, 8,857.42 and 3,765.90

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Solution

The fourth proportional to 6,418.69, 8,857.42 and 3,765.90 is: 5,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.69 : 8,857.42 = 3,765.90 : x
  2. Step 2: Convert to fraction form
    6,418.69/8,857.42 = 3,765.90/x
  3. Step 3: Cross multiply
    6,418.69x = 8,857.42 × 3,765.90
  4. Step 4: Simplify right side
    6,418.69x = 33,356,157.98
  5. Step 5: Solve for x
    x = 33,356,157.98/6,418.69
  6. Step 6: Final answer
    x = 5,196.72

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