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Finding the Fourth Proportional to 7,137.21, 9,826.96 and 6,481.11

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Solution

The fourth proportional to 7,137.21, 9,826.96 and 6,481.11 is: 8,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.21 : 9,826.96 = 6,481.11 : x
  2. Step 2: Convert to fraction form
    7,137.21/9,826.96 = 6,481.11/x
  3. Step 3: Cross multiply
    7,137.21x = 9,826.96 × 6,481.11
  4. Step 4: Simplify right side
    7,137.21x = 63,689,608.73
  5. Step 5: Solve for x
    x = 63,689,608.73/7,137.21
  6. Step 6: Final answer
    x = 8,923.60

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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.