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Finding the Fourth Proportional to 6,206.70, 9,311.67 and 3,607.41

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Solution

The fourth proportional to 6,206.70, 9,311.67 and 3,607.41 is: 5,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.70 : 9,311.67 = 3,607.41 : x
  2. Step 2: Convert to fraction form
    6,206.70/9,311.67 = 3,607.41/x
  3. Step 3: Cross multiply
    6,206.70x = 9,311.67 × 3,607.41
  4. Step 4: Simplify right side
    6,206.70x = 33,591,011.47
  5. Step 5: Solve for x
    x = 33,591,011.47/6,206.70
  6. Step 6: Final answer
    x = 5,412.06

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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.