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Finding the Fourth Proportional to 6,649.77, 9,176.54 and 3,665.54

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Solution

The fourth proportional to 6,649.77, 9,176.54 and 3,665.54 is: 5,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.77 : 9,176.54 = 3,665.54 : x
  2. Step 2: Convert to fraction form
    6,649.77/9,176.54 = 3,665.54/x
  3. Step 3: Cross multiply
    6,649.77x = 9,176.54 × 3,665.54
  4. Step 4: Simplify right side
    6,649.77x = 33,636,979.05
  5. Step 5: Solve for x
    x = 33,636,979.05/6,649.77
  6. Step 6: Final answer
    x = 5,058.36

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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.