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Finding the Fourth Proportional to 9,183.84, 12,670.08 and 5,996.13

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Solution

The fourth proportional to 9,183.84, 12,670.08 and 5,996.13 is: 8,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.84 : 12,670.08 = 5,996.13 : x
  2. Step 2: Convert to fraction form
    9,183.84/12,670.08 = 5,996.13/x
  3. Step 3: Cross multiply
    9,183.84x = 12,670.08 × 5,996.13
  4. Step 4: Simplify right side
    9,183.84x = 75,971,446.79
  5. Step 5: Solve for x
    x = 75,971,446.79/9,183.84
  6. Step 6: Final answer
    x = 8,272.30

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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.