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Finding the Fourth Proportional to 6,329.38, 9,494.88 and 2,433.28

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Solution

The fourth proportional to 6,329.38, 9,494.88 and 2,433.28 is: 3,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.38 : 9,494.88 = 2,433.28 : x
  2. Step 2: Convert to fraction form
    6,329.38/9,494.88 = 2,433.28/x
  3. Step 3: Cross multiply
    6,329.38x = 9,494.88 × 2,433.28
  4. Step 4: Simplify right side
    6,329.38x = 23,103,701.61
  5. Step 5: Solve for x
    x = 23,103,701.61/6,329.38
  6. Step 6: Final answer
    x = 3,650.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.