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Finding the Fourth Proportional to 6,361.61, 9,516.49 and 5,324.81

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Solution

The fourth proportional to 6,361.61, 9,516.49 and 5,324.81 is: 7,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.61 : 9,516.49 = 5,324.81 : x
  2. Step 2: Convert to fraction form
    6,361.61/9,516.49 = 5,324.81/x
  3. Step 3: Cross multiply
    6,361.61x = 9,516.49 × 5,324.81
  4. Step 4: Simplify right side
    6,361.61x = 50,673,440.22
  5. Step 5: Solve for x
    x = 50,673,440.22/6,361.61
  6. Step 6: Final answer
    x = 7,965.51

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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.