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Finding the Fourth Proportional to 6,377.70, 9,567 and 2,217.18

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Solution

The fourth proportional to 6,377.70, 9,567 and 2,217.18 is: 3,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.70 : 9,567 = 2,217.18 : x
  2. Step 2: Convert to fraction form
    6,377.70/9,567 = 2,217.18/x
  3. Step 3: Cross multiply
    6,377.70x = 9,567 × 2,217.18
  4. Step 4: Simplify right side
    6,377.70x = 21,211,761.06
  5. Step 5: Solve for x
    x = 21,211,761.06/6,377.70
  6. Step 6: Final answer
    x = 3,325.93

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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.