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Finding the Fourth Proportional to 6,324.54, 9,477.89 and 2,989.23

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Solution

The fourth proportional to 6,324.54, 9,477.89 and 2,989.23 is: 4,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.54 : 9,477.89 = 2,989.23 : x
  2. Step 2: Convert to fraction form
    6,324.54/9,477.89 = 2,989.23/x
  3. Step 3: Cross multiply
    6,324.54x = 9,477.89 × 2,989.23
  4. Step 4: Simplify right side
    6,324.54x = 28,331,593.12
  5. Step 5: Solve for x
    x = 28,331,593.12/6,324.54
  6. Step 6: Final answer
    x = 4,479.63

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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.