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Finding the Fourth Proportional to 6,855.05, 9,458.42 and 4,165.44

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Solution

The fourth proportional to 6,855.05, 9,458.42 and 4,165.44 is: 5,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.05 : 9,458.42 = 4,165.44 : x
  2. Step 2: Convert to fraction form
    6,855.05/9,458.42 = 4,165.44/x
  3. Step 3: Cross multiply
    6,855.05x = 9,458.42 × 4,165.44
  4. Step 4: Simplify right side
    6,855.05x = 39,398,460.18
  5. Step 5: Solve for x
    x = 39,398,460.18/6,855.05
  6. Step 6: Final answer
    x = 5,747.37

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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.