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Finding the Fourth Proportional to 6,833.12, 9,426.97 and 4,175.92

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Solution

The fourth proportional to 6,833.12, 9,426.97 and 4,175.92 is: 5,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.12 : 9,426.97 = 4,175.92 : x
  2. Step 2: Convert to fraction form
    6,833.12/9,426.97 = 4,175.92/x
  3. Step 3: Cross multiply
    6,833.12x = 9,426.97 × 4,175.92
  4. Step 4: Simplify right side
    6,833.12x = 39,366,254.21
  5. Step 5: Solve for x
    x = 39,366,254.21/6,833.12
  6. Step 6: Final answer
    x = 5,761.09

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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.