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Finding the Fourth Proportional to 9,176.38, 12,664.62 and 5,197.49

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Solution

The fourth proportional to 9,176.38, 12,664.62 and 5,197.49 is: 7,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.38 : 12,664.62 = 5,197.49 : x
  2. Step 2: Convert to fraction form
    9,176.38/12,664.62 = 5,197.49/x
  3. Step 3: Cross multiply
    9,176.38x = 12,664.62 × 5,197.49
  4. Step 4: Simplify right side
    9,176.38x = 65,824,235.80
  5. Step 5: Solve for x
    x = 65,824,235.80/9,176.38
  6. Step 6: Final answer
    x = 7,173.23

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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.