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Finding the Fourth Proportional to 12,442.73, 17,170.97 and 6,853.73

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Solution

The fourth proportional to 12,442.73, 17,170.97 and 6,853.73 is: 9,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.73 : 17,170.97 = 6,853.73 : x
  2. Step 2: Convert to fraction form
    12,442.73/17,170.97 = 6,853.73/x
  3. Step 3: Cross multiply
    12,442.73x = 17,170.97 × 6,853.73
  4. Step 4: Simplify right side
    12,442.73x = 117,685,297.33
  5. Step 5: Solve for x
    x = 117,685,297.33/12,442.73
  6. Step 6: Final answer
    x = 9,458.15

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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.