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Finding the Fourth Proportional to 6,267.84, 9,401.04 and 2,107.68

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Solution

The fourth proportional to 6,267.84, 9,401.04 and 2,107.68 is: 3,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.84 : 9,401.04 = 2,107.68 : x
  2. Step 2: Convert to fraction form
    6,267.84/9,401.04 = 2,107.68/x
  3. Step 3: Cross multiply
    6,267.84x = 9,401.04 × 2,107.68
  4. Step 4: Simplify right side
    6,267.84x = 19,814,383.99
  5. Step 5: Solve for x
    x = 19,814,383.99/6,267.84
  6. Step 6: Final answer
    x = 3,161.28

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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.