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Finding the Fourth Proportional to 9,183.92, 12,662.61 and 7,765.16

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Solution

The fourth proportional to 9,183.92, 12,662.61 and 7,765.16 is: 10,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.92 : 12,662.61 = 7,765.16 : x
  2. Step 2: Convert to fraction form
    9,183.92/12,662.61 = 7,765.16/x
  3. Step 3: Cross multiply
    9,183.92x = 12,662.61 × 7,765.16
  4. Step 4: Simplify right side
    9,183.92x = 98,327,192.67
  5. Step 5: Solve for x
    x = 98,327,192.67/9,183.92
  6. Step 6: Final answer
    x = 10,706.45

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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.