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Finding the Fourth Proportional to 6,092.64, 9,137.46 and 2,343.66

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Solution

The fourth proportional to 6,092.64, 9,137.46 and 2,343.66 is: 3,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.64 : 9,137.46 = 2,343.66 : x
  2. Step 2: Convert to fraction form
    6,092.64/9,137.46 = 2,343.66/x
  3. Step 3: Cross multiply
    6,092.64x = 9,137.46 × 2,343.66
  4. Step 4: Simplify right side
    6,092.64x = 21,415,099.50
  5. Step 5: Solve for x
    x = 21,415,099.50/6,092.64
  6. Step 6: Final answer
    x = 3,514.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.