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Finding the Fourth Proportional to 6,270.96, 8,644.68 and 4,942.02

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Solution

The fourth proportional to 6,270.96, 8,644.68 and 4,942.02 is: 6,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.96 : 8,644.68 = 4,942.02 : x
  2. Step 2: Convert to fraction form
    6,270.96/8,644.68 = 4,942.02/x
  3. Step 3: Cross multiply
    6,270.96x = 8,644.68 × 4,942.02
  4. Step 4: Simplify right side
    6,270.96x = 42,722,181.45
  5. Step 5: Solve for x
    x = 42,722,181.45/6,270.96
  6. Step 6: Final answer
    x = 6,812.70

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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.