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Finding the Fourth Proportional to 7,076.44, 9,767.81 and 4,093

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Solution

The fourth proportional to 7,076.44, 9,767.81 and 4,093 is: 5,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.44 : 9,767.81 = 4,093 : x
  2. Step 2: Convert to fraction form
    7,076.44/9,767.81 = 4,093/x
  3. Step 3: Cross multiply
    7,076.44x = 9,767.81 × 4,093
  4. Step 4: Simplify right side
    7,076.44x = 39,979,646.33
  5. Step 5: Solve for x
    x = 39,979,646.33/7,076.44
  6. Step 6: Final answer
    x = 5,649.68

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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.