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Finding the Fourth Proportional to 6,383.44, 9,562.68 and 4,185.48

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Solution

The fourth proportional to 6,383.44, 9,562.68 and 4,185.48 is: 6,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.44 : 9,562.68 = 4,185.48 : x
  2. Step 2: Convert to fraction form
    6,383.44/9,562.68 = 4,185.48/x
  3. Step 3: Cross multiply
    6,383.44x = 9,562.68 × 4,185.48
  4. Step 4: Simplify right side
    6,383.44x = 40,024,405.89
  5. Step 5: Solve for x
    x = 40,024,405.89/6,383.44
  6. Step 6: Final answer
    x = 6,270.04

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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.