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Finding the Fourth Proportional to 6,135.70, 9,190.86 and 3,205.12

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Solution

The fourth proportional to 6,135.70, 9,190.86 and 3,205.12 is: 4,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.70 : 9,190.86 = 3,205.12 : x
  2. Step 2: Convert to fraction form
    6,135.70/9,190.86 = 3,205.12/x
  3. Step 3: Cross multiply
    6,135.70x = 9,190.86 × 3,205.12
  4. Step 4: Simplify right side
    6,135.70x = 29,457,809.20
  5. Step 5: Solve for x
    x = 29,457,809.20/6,135.70
  6. Step 6: Final answer
    x = 4,801.05

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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.