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Finding the Fourth Proportional to 6,414.87, 8,832.78 and 5,468.54

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Solution

The fourth proportional to 6,414.87, 8,832.78 and 5,468.54 is: 7,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.87 : 8,832.78 = 5,468.54 : x
  2. Step 2: Convert to fraction form
    6,414.87/8,832.78 = 5,468.54/x
  3. Step 3: Cross multiply
    6,414.87x = 8,832.78 × 5,468.54
  4. Step 4: Simplify right side
    6,414.87x = 48,302,410.74
  5. Step 5: Solve for x
    x = 48,302,410.74/6,414.87
  6. Step 6: Final answer
    x = 7,529.76

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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.