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Finding the Fourth Proportional to 6,432.72, 9,665.25 and 4,093.77

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Solution

The fourth proportional to 6,432.72, 9,665.25 and 4,093.77 is: 6,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.72 : 9,665.25 = 4,093.77 : x
  2. Step 2: Convert to fraction form
    6,432.72/9,665.25 = 4,093.77/x
  3. Step 3: Cross multiply
    6,432.72x = 9,665.25 × 4,093.77
  4. Step 4: Simplify right side
    6,432.72x = 39,567,310.49
  5. Step 5: Solve for x
    x = 39,567,310.49/6,432.72
  6. Step 6: Final answer
    x = 6,150.95

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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.