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Finding the Fourth Proportional to 9,183.21, 12,673.74 and 5,827.53

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Solution

The fourth proportional to 9,183.21, 12,673.74 and 5,827.53 is: 8,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.21 : 12,673.74 = 5,827.53 : x
  2. Step 2: Convert to fraction form
    9,183.21/12,673.74 = 5,827.53/x
  3. Step 3: Cross multiply
    9,183.21x = 12,673.74 × 5,827.53
  4. Step 4: Simplify right side
    9,183.21x = 73,856,600.06
  5. Step 5: Solve for x
    x = 73,856,600.06/9,183.21
  6. Step 6: Final answer
    x = 8,042.57

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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.