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Finding the Fourth Proportional to 10,294.74, 14,198.97 and 6,467.49

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Solution

The fourth proportional to 10,294.74, 14,198.97 and 6,467.49 is: 8,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.74 : 14,198.97 = 6,467.49 : x
  2. Step 2: Convert to fraction form
    10,294.74/14,198.97 = 6,467.49/x
  3. Step 3: Cross multiply
    10,294.74x = 14,198.97 × 6,467.49
  4. Step 4: Simplify right side
    10,294.74x = 91,831,696.49
  5. Step 5: Solve for x
    x = 91,831,696.49/10,294.74
  6. Step 6: Final answer
    x = 8,920.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.