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Finding the Fourth Proportional to 6,645.36, 9,171.84 and 3,850.86

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Solution

The fourth proportional to 6,645.36, 9,171.84 and 3,850.86 is: 5,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.36 : 9,171.84 = 3,850.86 : x
  2. Step 2: Convert to fraction form
    6,645.36/9,171.84 = 3,850.86/x
  3. Step 3: Cross multiply
    6,645.36x = 9,171.84 × 3,850.86
  4. Step 4: Simplify right side
    6,645.36x = 35,319,471.78
  5. Step 5: Solve for x
    x = 35,319,471.78/6,645.36
  6. Step 6: Final answer
    x = 5,314.91

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