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Finding the Fourth Proportional to 6,236.81, 9,357.44 and 3,894.10

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Solution

The fourth proportional to 6,236.81, 9,357.44 and 3,894.10 is: 5,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.81 : 9,357.44 = 3,894.10 : x
  2. Step 2: Convert to fraction form
    6,236.81/9,357.44 = 3,894.10/x
  3. Step 3: Cross multiply
    6,236.81x = 9,357.44 × 3,894.10
  4. Step 4: Simplify right side
    6,236.81x = 36,438,816.88
  5. Step 5: Solve for x
    x = 36,438,816.88/6,236.81
  6. Step 6: Final answer
    x = 5,842.54

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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.