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Finding the Fourth Proportional to 6,833.83, 9,431.74 and 4,145.49

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Solution

The fourth proportional to 6,833.83, 9,431.74 and 4,145.49 is: 5,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.83 : 9,431.74 = 4,145.49 : x
  2. Step 2: Convert to fraction form
    6,833.83/9,431.74 = 4,145.49/x
  3. Step 3: Cross multiply
    6,833.83x = 9,431.74 × 4,145.49
  4. Step 4: Simplify right side
    6,833.83x = 39,099,183.85
  5. Step 5: Solve for x
    x = 39,099,183.85/6,833.83
  6. Step 6: Final answer
    x = 5,721.42

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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.