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Finding the Fourth Proportional to 6,634.31, 9,155.08 and 3,649.81

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Solution

The fourth proportional to 6,634.31, 9,155.08 and 3,649.81 is: 5,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.31 : 9,155.08 = 3,649.81 : x
  2. Step 2: Convert to fraction form
    6,634.31/9,155.08 = 3,649.81/x
  3. Step 3: Cross multiply
    6,634.31x = 9,155.08 × 3,649.81
  4. Step 4: Simplify right side
    6,634.31x = 33,414,280.84
  5. Step 5: Solve for x
    x = 33,414,280.84/6,634.31
  6. Step 6: Final answer
    x = 5,036.59

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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.