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Finding the Fourth Proportional to 7,137.27, 9,854.25 and 4,449.54

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Solution

The fourth proportional to 7,137.27, 9,854.25 and 4,449.54 is: 6,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.27 : 9,854.25 = 4,449.54 : x
  2. Step 2: Convert to fraction form
    7,137.27/9,854.25 = 4,449.54/x
  3. Step 3: Cross multiply
    7,137.27x = 9,854.25 × 4,449.54
  4. Step 4: Simplify right side
    7,137.27x = 43,846,879.55
  5. Step 5: Solve for x
    x = 43,846,879.55/7,137.27
  6. Step 6: Final answer
    x = 6,143.37

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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.