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Finding the Fourth Proportional to 6,876, 9,491.04 and 4,392

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Solution

The fourth proportional to 6,876, 9,491.04 and 4,392 is: 6,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 9,491.04 = 4,392 : x
  2. Step 2: Convert to fraction form
    6,876/9,491.04 = 4,392/x
  3. Step 3: Cross multiply
    6,876x = 9,491.04 × 4,392
  4. Step 4: Simplify right side
    6,876x = 41,684,647.68
  5. Step 5: Solve for x
    x = 41,684,647.68/6,876
  6. Step 6: Final answer
    x = 6,062.34

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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.