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Finding the Fourth Proportional to 6,133.30, 9,194.55 and 3,669.10

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Solution

The fourth proportional to 6,133.30, 9,194.55 and 3,669.10 is: 5,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.30 : 9,194.55 = 3,669.10 : x
  2. Step 2: Convert to fraction form
    6,133.30/9,194.55 = 3,669.10/x
  3. Step 3: Cross multiply
    6,133.30x = 9,194.55 × 3,669.10
  4. Step 4: Simplify right side
    6,133.30x = 33,735,723.41
  5. Step 5: Solve for x
    x = 33,735,723.41/6,133.30
  6. Step 6: Final answer
    x = 5,500.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.