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Finding the Fourth Proportional to 6,266.84, 9,401.64 and 2,371.26

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Solution

The fourth proportional to 6,266.84, 9,401.64 and 2,371.26 is: 3,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.84 : 9,401.64 = 2,371.26 : x
  2. Step 2: Convert to fraction form
    6,266.84/9,401.64 = 2,371.26/x
  3. Step 3: Cross multiply
    6,266.84x = 9,401.64 × 2,371.26
  4. Step 4: Simplify right side
    6,266.84x = 22,293,732.87
  5. Step 5: Solve for x
    x = 22,293,732.87/6,266.84
  6. Step 6: Final answer
    x = 3,557.41

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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.