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Finding the Fourth Proportional to 6,424.43, 8,863.03 and 4,324.91

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Solution

The fourth proportional to 6,424.43, 8,863.03 and 4,324.91 is: 5,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.43 : 8,863.03 = 4,324.91 : x
  2. Step 2: Convert to fraction form
    6,424.43/8,863.03 = 4,324.91/x
  3. Step 3: Cross multiply
    6,424.43x = 8,863.03 × 4,324.91
  4. Step 4: Simplify right side
    6,424.43x = 38,331,807.08
  5. Step 5: Solve for x
    x = 38,331,807.08/6,424.43
  6. Step 6: Final answer
    x = 5,966.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.