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Finding the Fourth Proportional to 9,456, 13,049.28 and 5,264.52

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Solution

The fourth proportional to 9,456, 13,049.28 and 5,264.52 is: 7,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456 : 13,049.28 = 5,264.52 : x
  2. Step 2: Convert to fraction form
    9,456/13,049.28 = 5,264.52/x
  3. Step 3: Cross multiply
    9,456x = 13,049.28 × 5,264.52
  4. Step 4: Simplify right side
    9,456x = 68,698,195.55
  5. Step 5: Solve for x
    x = 68,698,195.55/9,456
  6. Step 6: Final answer
    x = 7,265.04

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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.