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Finding the Fourth Proportional to 6,418.98, 8,855.71 and 3,765.42

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Solution

The fourth proportional to 6,418.98, 8,855.71 and 3,765.42 is: 5,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.98 : 8,855.71 = 3,765.42 : x
  2. Step 2: Convert to fraction form
    6,418.98/8,855.71 = 3,765.42/x
  3. Step 3: Cross multiply
    6,418.98x = 8,855.71 × 3,765.42
  4. Step 4: Simplify right side
    6,418.98x = 33,345,458.13
  5. Step 5: Solve for x
    x = 33,345,458.13/6,418.98
  6. Step 6: Final answer
    x = 5,194.82

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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.