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Finding the Fourth Proportional to 9,264.92, 13,911.22 and 9,126.52

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Solution

The fourth proportional to 9,264.92, 13,911.22 and 9,126.52 is: 13,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.92 : 13,911.22 = 9,126.52 : x
  2. Step 2: Convert to fraction form
    9,264.92/13,911.22 = 9,126.52/x
  3. Step 3: Cross multiply
    9,264.92x = 13,911.22 × 9,126.52
  4. Step 4: Simplify right side
    9,264.92x = 126,961,027.55
  5. Step 5: Solve for x
    x = 126,961,027.55/9,264.92
  6. Step 6: Final answer
    x = 13,703.41

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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.