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Finding the Fourth Proportional to 6,423.86, 9,630.54 and 2,863.37

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Solution

The fourth proportional to 6,423.86, 9,630.54 and 2,863.37 is: 4,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.86 : 9,630.54 = 2,863.37 : x
  2. Step 2: Convert to fraction form
    6,423.86/9,630.54 = 2,863.37/x
  3. Step 3: Cross multiply
    6,423.86x = 9,630.54 × 2,863.37
  4. Step 4: Simplify right side
    6,423.86x = 27,575,799.32
  5. Step 5: Solve for x
    x = 27,575,799.32/6,423.86
  6. Step 6: Final answer
    x = 4,292.71

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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.