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Finding the Fourth Proportional to 6,236.14, 8,605.86 and 3,441.64

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Solution

The fourth proportional to 6,236.14, 8,605.86 and 3,441.64 is: 4,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.14 : 8,605.86 = 3,441.64 : x
  2. Step 2: Convert to fraction form
    6,236.14/8,605.86 = 3,441.64/x
  3. Step 3: Cross multiply
    6,236.14x = 8,605.86 × 3,441.64
  4. Step 4: Simplify right side
    6,236.14x = 29,618,272.01
  5. Step 5: Solve for x
    x = 29,618,272.01/6,236.14
  6. Step 6: Final answer
    x = 4,749.46

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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.