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Finding the Fourth Proportional to 6,835.41, 9,473.24 and 6,731.73

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Solution

The fourth proportional to 6,835.41, 9,473.24 and 6,731.73 is: 9,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.41 : 9,473.24 = 6,731.73 : x
  2. Step 2: Convert to fraction form
    6,835.41/9,473.24 = 6,731.73/x
  3. Step 3: Cross multiply
    6,835.41x = 9,473.24 × 6,731.73
  4. Step 4: Simplify right side
    6,835.41x = 63,771,310.73
  5. Step 5: Solve for x
    x = 63,771,310.73/6,835.41
  6. Step 6: Final answer
    x = 9,329.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.