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Finding the Fourth Proportional to 9,936.24, 13,712.04 and 5,957.52

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Solution

The fourth proportional to 9,936.24, 13,712.04 and 5,957.52 is: 8,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.24 : 13,712.04 = 5,957.52 : x
  2. Step 2: Convert to fraction form
    9,936.24/13,712.04 = 5,957.52/x
  3. Step 3: Cross multiply
    9,936.24x = 13,712.04 × 5,957.52
  4. Step 4: Simplify right side
    9,936.24x = 81,689,752.54
  5. Step 5: Solve for x
    x = 81,689,752.54/9,936.24
  6. Step 6: Final answer
    x = 8,221.39

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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.