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Finding the Fourth Proportional to 6,428.13, 9,643.16 and 2,267.41

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Solution

The fourth proportional to 6,428.13, 9,643.16 and 2,267.41 is: 3,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.13 : 9,643.16 = 2,267.41 : x
  2. Step 2: Convert to fraction form
    6,428.13/9,643.16 = 2,267.41/x
  3. Step 3: Cross multiply
    6,428.13x = 9,643.16 × 2,267.41
  4. Step 4: Simplify right side
    6,428.13x = 21,864,997.42
  5. Step 5: Solve for x
    x = 21,864,997.42/6,428.13
  6. Step 6: Final answer
    x = 3,401.46

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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.