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Finding the Fourth Proportional to 9,665.92, 14,490.42 and 3,424.96

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Solution

The fourth proportional to 9,665.92, 14,490.42 and 3,424.96 is: 5,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.92 : 14,490.42 = 3,424.96 : x
  2. Step 2: Convert to fraction form
    9,665.92/14,490.42 = 3,424.96/x
  3. Step 3: Cross multiply
    9,665.92x = 14,490.42 × 3,424.96
  4. Step 4: Simplify right side
    9,665.92x = 49,629,108.88
  5. Step 5: Solve for x
    x = 49,629,108.88/9,665.92
  6. Step 6: Final answer
    x = 5,134.44

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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.