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Finding the Fourth Proportional to 6,272.82, 8,662.68 and 4,944.42

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Solution

The fourth proportional to 6,272.82, 8,662.68 and 4,944.42 is: 6,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.82 : 8,662.68 = 4,944.42 : x
  2. Step 2: Convert to fraction form
    6,272.82/8,662.68 = 4,944.42/x
  3. Step 3: Cross multiply
    6,272.82x = 8,662.68 × 4,944.42
  4. Step 4: Simplify right side
    6,272.82x = 42,831,928.25
  5. Step 5: Solve for x
    x = 42,831,928.25/6,272.82
  6. Step 6: Final answer
    x = 6,828.18

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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.