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Finding the Fourth Proportional to 6,362.98, 9,542.13 and 2,201.92

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Solution

The fourth proportional to 6,362.98, 9,542.13 and 2,201.92 is: 3,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.98 : 9,542.13 = 2,201.92 : x
  2. Step 2: Convert to fraction form
    6,362.98/9,542.13 = 2,201.92/x
  3. Step 3: Cross multiply
    6,362.98x = 9,542.13 × 2,201.92
  4. Step 4: Simplify right side
    6,362.98x = 21,011,006.89
  5. Step 5: Solve for x
    x = 21,011,006.89/6,362.98
  6. Step 6: Final answer
    x = 3,302.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.