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Finding the Fourth Proportional to 9,545.96, 14,324.60 and 5,163.32

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Solution

The fourth proportional to 9,545.96, 14,324.60 and 5,163.32 is: 7,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.96 : 14,324.60 = 5,163.32 : x
  2. Step 2: Convert to fraction form
    9,545.96/14,324.60 = 5,163.32/x
  3. Step 3: Cross multiply
    9,545.96x = 14,324.60 × 5,163.32
  4. Step 4: Simplify right side
    9,545.96x = 73,962,434.96
  5. Step 5: Solve for x
    x = 73,962,434.96/9,545.96
  6. Step 6: Final answer
    x = 7,748.04

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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.