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Finding the Fourth Proportional to 6,642.16, 9,958.36 and 3,181.84

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Solution

The fourth proportional to 6,642.16, 9,958.36 and 3,181.84 is: 4,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.16 : 9,958.36 = 3,181.84 : x
  2. Step 2: Convert to fraction form
    6,642.16/9,958.36 = 3,181.84/x
  3. Step 3: Cross multiply
    6,642.16x = 9,958.36 × 3,181.84
  4. Step 4: Simplify right side
    6,642.16x = 31,685,908.18
  5. Step 5: Solve for x
    x = 31,685,908.18/6,642.16
  6. Step 6: Final answer
    x = 4,770.42

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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.