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Finding the Fourth Proportional to 6,649.97, 9,177.26 and 3,666.06

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Solution

The fourth proportional to 6,649.97, 9,177.26 and 3,666.06 is: 5,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.97 : 9,177.26 = 3,666.06 : x
  2. Step 2: Convert to fraction form
    6,649.97/9,177.26 = 3,666.06/x
  3. Step 3: Cross multiply
    6,649.97x = 9,177.26 × 3,666.06
  4. Step 4: Simplify right side
    6,649.97x = 33,644,367.47
  5. Step 5: Solve for x
    x = 33,644,367.47/6,649.97
  6. Step 6: Final answer
    x = 5,059.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.