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Finding the Fourth Proportional to 12,874.32, 17,768.87 and 9,347.79

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Solution

The fourth proportional to 12,874.32, 17,768.87 and 9,347.79 is: 12,901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.32 : 17,768.87 = 9,347.79 : x
  2. Step 2: Convert to fraction form
    12,874.32/17,768.87 = 9,347.79/x
  3. Step 3: Cross multiply
    12,874.32x = 17,768.87 × 9,347.79
  4. Step 4: Simplify right side
    12,874.32x = 166,099,618.56
  5. Step 5: Solve for x
    x = 166,099,618.56/12,874.32
  6. Step 6: Final answer
    x = 12,901.62

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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.