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Finding the Fourth Proportional to 6,836.62, 9,435.54 and 4,183.60

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Solution

The fourth proportional to 6,836.62, 9,435.54 and 4,183.60 is: 5,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.62 : 9,435.54 = 4,183.60 : x
  2. Step 2: Convert to fraction form
    6,836.62/9,435.54 = 4,183.60/x
  3. Step 3: Cross multiply
    6,836.62x = 9,435.54 × 4,183.60
  4. Step 4: Simplify right side
    6,836.62x = 39,474,525.14
  5. Step 5: Solve for x
    x = 39,474,525.14/6,836.62
  6. Step 6: Final answer
    x = 5,773.98

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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.