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Finding the Fourth Proportional to 9,512.52, 14,269.56 and 2,492.52

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Solution

The fourth proportional to 9,512.52, 14,269.56 and 2,492.52 is: 3,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.52 : 14,269.56 = 2,492.52 : x
  2. Step 2: Convert to fraction form
    9,512.52/14,269.56 = 2,492.52/x
  3. Step 3: Cross multiply
    9,512.52x = 14,269.56 × 2,492.52
  4. Step 4: Simplify right side
    9,512.52x = 35,567,163.69
  5. Step 5: Solve for x
    x = 35,567,163.69/9,512.52
  6. Step 6: Final answer
    x = 3,738.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.