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Finding the Fourth Proportional to 6,649.69, 9,176.16 and 3,665.37

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Solution

The fourth proportional to 6,649.69, 9,176.16 and 3,665.37 is: 5,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.69 : 9,176.16 = 3,665.37 : x
  2. Step 2: Convert to fraction form
    6,649.69/9,176.16 = 3,665.37/x
  3. Step 3: Cross multiply
    6,649.69x = 9,176.16 × 3,665.37
  4. Step 4: Simplify right side
    6,649.69x = 33,634,021.58
  5. Step 5: Solve for x
    x = 33,634,021.58/6,649.69
  6. Step 6: Final answer
    x = 5,057.98

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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.