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Finding the Fourth Proportional to 9,545.77, 14,324.23 and 3,998.64

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Solution

The fourth proportional to 9,545.77, 14,324.23 and 3,998.64 is: 6,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.77 : 14,324.23 = 3,998.64 : x
  2. Step 2: Convert to fraction form
    9,545.77/14,324.23 = 3,998.64/x
  3. Step 3: Cross multiply
    9,545.77x = 14,324.23 × 3,998.64
  4. Step 4: Simplify right side
    9,545.77x = 57,277,439.05
  5. Step 5: Solve for x
    x = 57,277,439.05/9,545.77
  6. Step 6: Final answer
    x = 6,000.30

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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.