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Finding the Fourth Proportional to 9,456.62, 14,183.67 and 5,946.98

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Solution

The fourth proportional to 9,456.62, 14,183.67 and 5,946.98 is: 8,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.62 : 14,183.67 = 5,946.98 : x
  2. Step 2: Convert to fraction form
    9,456.62/14,183.67 = 5,946.98/x
  3. Step 3: Cross multiply
    9,456.62x = 14,183.67 × 5,946.98
  4. Step 4: Simplify right side
    9,456.62x = 84,350,001.82
  5. Step 5: Solve for x
    x = 84,350,001.82/9,456.62
  6. Step 6: Final answer
    x = 8,919.68

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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.