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Finding the Fourth Proportional to 6,238.10, 9,350.93 and 3,466.01

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Solution

The fourth proportional to 6,238.10, 9,350.93 and 3,466.01 is: 5,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.10 : 9,350.93 = 3,466.01 : x
  2. Step 2: Convert to fraction form
    6,238.10/9,350.93 = 3,466.01/x
  3. Step 3: Cross multiply
    6,238.10x = 9,350.93 × 3,466.01
  4. Step 4: Simplify right side
    6,238.10x = 32,410,378.80
  5. Step 5: Solve for x
    x = 32,410,378.80/6,238.10
  6. Step 6: Final answer
    x = 5,195.56

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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.