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Finding the Fourth Proportional to 9,512.44, 13,122.73 and 6,156.33

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Solution

The fourth proportional to 9,512.44, 13,122.73 and 6,156.33 is: 8,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.44 : 13,122.73 = 6,156.33 : x
  2. Step 2: Convert to fraction form
    9,512.44/13,122.73 = 6,156.33/x
  3. Step 3: Cross multiply
    9,512.44x = 13,122.73 × 6,156.33
  4. Step 4: Simplify right side
    9,512.44x = 80,787,856.38
  5. Step 5: Solve for x
    x = 80,787,856.38/9,512.44
  6. Step 6: Final answer
    x = 8,492.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.