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Finding the Fourth Proportional to 6,633.54, 9,153.95 and 3,649.30

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Solution

The fourth proportional to 6,633.54, 9,153.95 and 3,649.30 is: 5,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.54 : 9,153.95 = 3,649.30 : x
  2. Step 2: Convert to fraction form
    6,633.54/9,153.95 = 3,649.30/x
  3. Step 3: Cross multiply
    6,633.54x = 9,153.95 × 3,649.30
  4. Step 4: Simplify right side
    6,633.54x = 33,405,468.60
  5. Step 5: Solve for x
    x = 33,405,468.60/6,633.54
  6. Step 6: Final answer
    x = 5,035.84

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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.