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Finding the Fourth Proportional to 6,876.88, 9,490.30 and 3,733.26

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Solution

The fourth proportional to 6,876.88, 9,490.30 and 3,733.26 is: 5,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.88 : 9,490.30 = 3,733.26 : x
  2. Step 2: Convert to fraction form
    6,876.88/9,490.30 = 3,733.26/x
  3. Step 3: Cross multiply
    6,876.88x = 9,490.30 × 3,733.26
  4. Step 4: Simplify right side
    6,876.88x = 35,429,757.38
  5. Step 5: Solve for x
    x = 35,429,757.38/6,876.88
  6. Step 6: Final answer
    x = 5,152.01

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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.