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Finding the Fourth Proportional to 6,853.55, 9,456.35 and 4,163.94

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Solution

The fourth proportional to 6,853.55, 9,456.35 and 4,163.94 is: 5,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.55 : 9,456.35 = 4,163.94 : x
  2. Step 2: Convert to fraction form
    6,853.55/9,456.35 = 4,163.94/x
  3. Step 3: Cross multiply
    6,853.55x = 9,456.35 × 4,163.94
  4. Step 4: Simplify right side
    6,853.55x = 39,375,653.20
  5. Step 5: Solve for x
    x = 39,375,653.20/6,853.55
  6. Step 6: Final answer
    x = 5,745.30

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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.