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Finding the Fourth Proportional to 9,751.53, 14,629.92 and 3,512.25

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Solution

The fourth proportional to 9,751.53, 14,629.92 and 3,512.25 is: 5,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.53 : 14,629.92 = 3,512.25 : x
  2. Step 2: Convert to fraction form
    9,751.53/14,629.92 = 3,512.25/x
  3. Step 3: Cross multiply
    9,751.53x = 14,629.92 × 3,512.25
  4. Step 4: Simplify right side
    9,751.53x = 51,383,936.52
  5. Step 5: Solve for x
    x = 51,383,936.52/9,751.53
  6. Step 6: Final answer
    x = 5,269.32

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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.