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Finding the Fourth Proportional to 6,834.56, 9,431.37 and 4,182.21

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Solution

The fourth proportional to 6,834.56, 9,431.37 and 4,182.21 is: 5,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.56 : 9,431.37 = 4,182.21 : x
  2. Step 2: Convert to fraction form
    6,834.56/9,431.37 = 4,182.21/x
  3. Step 3: Cross multiply
    6,834.56x = 9,431.37 × 4,182.21
  4. Step 4: Simplify right side
    6,834.56x = 39,443,969.93
  5. Step 5: Solve for x
    x = 39,443,969.93/6,834.56
  6. Step 6: Final answer
    x = 5,771.26

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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.