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Finding the Fourth Proportional to 9,183.60, 12,672.24 and 6,205.92

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Solution

The fourth proportional to 9,183.60, 12,672.24 and 6,205.92 is: 8,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.60 : 12,672.24 = 6,205.92 : x
  2. Step 2: Convert to fraction form
    9,183.60/12,672.24 = 6,205.92/x
  3. Step 3: Cross multiply
    9,183.60x = 12,672.24 × 6,205.92
  4. Step 4: Simplify right side
    9,183.60x = 78,642,907.66
  5. Step 5: Solve for x
    x = 78,642,907.66/9,183.60
  6. Step 6: Final answer
    x = 8,563.41

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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.