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Finding the Fourth Proportional to 9,183.36, 12,665.60 and 8,002.40

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Solution

The fourth proportional to 9,183.36, 12,665.60 and 8,002.40 is: 11,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.36 : 12,665.60 = 8,002.40 : x
  2. Step 2: Convert to fraction form
    9,183.36/12,665.60 = 8,002.40/x
  3. Step 3: Cross multiply
    9,183.36x = 12,665.60 × 8,002.40
  4. Step 4: Simplify right side
    9,183.36x = 101,355,197.44
  5. Step 5: Solve for x
    x = 101,355,197.44/9,183.36
  6. Step 6: Final answer
    x = 11,036.83

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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.