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Finding the Fourth Proportional to 6,863.96, 9,472.82 and 4,212.23

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Solution

The fourth proportional to 6,863.96, 9,472.82 and 4,212.23 is: 5,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.96 : 9,472.82 = 4,212.23 : x
  2. Step 2: Convert to fraction form
    6,863.96/9,472.82 = 4,212.23/x
  3. Step 3: Cross multiply
    6,863.96x = 9,472.82 × 4,212.23
  4. Step 4: Simplify right side
    6,863.96x = 39,901,628.16
  5. Step 5: Solve for x
    x = 39,901,628.16/6,863.96
  6. Step 6: Final answer
    x = 5,813.21

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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.