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Finding the Fourth Proportional to 6,834.24, 9,431.52 and 4,474.56

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Solution

The fourth proportional to 6,834.24, 9,431.52 and 4,474.56 is: 6,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.24 : 9,431.52 = 4,474.56 : x
  2. Step 2: Convert to fraction form
    6,834.24/9,431.52 = 4,474.56/x
  3. Step 3: Cross multiply
    6,834.24x = 9,431.52 × 4,474.56
  4. Step 4: Simplify right side
    6,834.24x = 42,201,902.13
  5. Step 5: Solve for x
    x = 42,201,902.13/6,834.24
  6. Step 6: Final answer
    x = 6,175.07

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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.