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Finding the Fourth Proportional to 6,936.41, 9,562.64 and 4,694.73

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Solution

The fourth proportional to 6,936.41, 9,562.64 and 4,694.73 is: 6,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.41 : 9,562.64 = 4,694.73 : x
  2. Step 2: Convert to fraction form
    6,936.41/9,562.64 = 4,694.73/x
  3. Step 3: Cross multiply
    6,936.41x = 9,562.64 × 4,694.73
  4. Step 4: Simplify right side
    6,936.41x = 44,893,989.41
  5. Step 5: Solve for x
    x = 44,893,989.41/6,936.41
  6. Step 6: Final answer
    x = 6,472.23

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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.