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Finding the Fourth Proportional to 6,639.12, 9,942.48 and 3,168

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Solution

The fourth proportional to 6,639.12, 9,942.48 and 3,168 is: 4,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639.12 : 9,942.48 = 3,168 : x
  2. Step 2: Convert to fraction form
    6,639.12/9,942.48 = 3,168/x
  3. Step 3: Cross multiply
    6,639.12x = 9,942.48 × 3,168
  4. Step 4: Simplify right side
    6,639.12x = 31,497,776.64
  5. Step 5: Solve for x
    x = 31,497,776.64/6,639.12
  6. Step 6: Final answer
    x = 4,744.27

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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.