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Finding the Fourth Proportional to 9,184.56, 12,674.16 and 5,205.84

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Solution

The fourth proportional to 9,184.56, 12,674.16 and 5,205.84 is: 7,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.56 : 12,674.16 = 5,205.84 : x
  2. Step 2: Convert to fraction form
    9,184.56/12,674.16 = 5,205.84/x
  3. Step 3: Cross multiply
    9,184.56x = 12,674.16 × 5,205.84
  4. Step 4: Simplify right side
    9,184.56x = 65,979,649.09
  5. Step 5: Solve for x
    x = 65,979,649.09/9,184.56
  6. Step 6: Final answer
    x = 7,183.76

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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.