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Finding the Fourth Proportional to 6,432.75, 9,665.26 and 4,093.76

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Solution

The fourth proportional to 6,432.75, 9,665.26 and 4,093.76 is: 6,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.75 : 9,665.26 = 4,093.76 : x
  2. Step 2: Convert to fraction form
    6,432.75/9,665.26 = 4,093.76/x
  3. Step 3: Cross multiply
    6,432.75x = 9,665.26 × 4,093.76
  4. Step 4: Simplify right side
    6,432.75x = 39,567,268.71
  5. Step 5: Solve for x
    x = 39,567,268.71/6,432.75
  6. Step 6: Final answer
    x = 6,150.91

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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.