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Finding the Fourth Proportional to 9,277.26, 12,800.34 and 5,921.70

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Solution

The fourth proportional to 9,277.26, 12,800.34 and 5,921.70 is: 8,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.26 : 12,800.34 = 5,921.70 : x
  2. Step 2: Convert to fraction form
    9,277.26/12,800.34 = 5,921.70/x
  3. Step 3: Cross multiply
    9,277.26x = 12,800.34 × 5,921.70
  4. Step 4: Simplify right side
    9,277.26x = 75,799,773.38
  5. Step 5: Solve for x
    x = 75,799,773.38/9,277.26
  6. Step 6: Final answer
    x = 8,170.49

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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.