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Finding the Fourth Proportional to 9,952.48, 13,733.92 and 5,972.80

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Solution

The fourth proportional to 9,952.48, 13,733.92 and 5,972.80 is: 8,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.48 : 13,733.92 = 5,972.80 : x
  2. Step 2: Convert to fraction form
    9,952.48/13,733.92 = 5,972.80/x
  3. Step 3: Cross multiply
    9,952.48x = 13,733.92 × 5,972.80
  4. Step 4: Simplify right side
    9,952.48x = 82,029,957.38
  5. Step 5: Solve for x
    x = 82,029,957.38/9,952.48
  6. Step 6: Final answer
    x = 8,242.16

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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.