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Finding the Fourth Proportional to 6,876.96, 9,490.20 and 3,733.14

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Solution

The fourth proportional to 6,876.96, 9,490.20 and 3,733.14 is: 5,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.96 : 9,490.20 = 3,733.14 : x
  2. Step 2: Convert to fraction form
    6,876.96/9,490.20 = 3,733.14/x
  3. Step 3: Cross multiply
    6,876.96x = 9,490.20 × 3,733.14
  4. Step 4: Simplify right side
    6,876.96x = 35,428,245.23
  5. Step 5: Solve for x
    x = 35,428,245.23/6,876.96
  6. Step 6: Final answer
    x = 5,151.73

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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.