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Finding the Fourth Proportional to 6,267.06, 9,401.67 and 2,107.47

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Solution

The fourth proportional to 6,267.06, 9,401.67 and 2,107.47 is: 3,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.06 : 9,401.67 = 2,107.47 : x
  2. Step 2: Convert to fraction form
    6,267.06/9,401.67 = 2,107.47/x
  3. Step 3: Cross multiply
    6,267.06x = 9,401.67 × 2,107.47
  4. Step 4: Simplify right side
    6,267.06x = 19,813,737.47
  5. Step 5: Solve for x
    x = 19,813,737.47/6,267.06
  6. Step 6: Final answer
    x = 3,161.57

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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.