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Finding the Fourth Proportional to 9,183.75, 12,673.14 and 5,204.77

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Solution

The fourth proportional to 9,183.75, 12,673.14 and 5,204.77 is: 7,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.75 : 12,673.14 = 5,204.77 : x
  2. Step 2: Convert to fraction form
    9,183.75/12,673.14 = 5,204.77/x
  3. Step 3: Cross multiply
    9,183.75x = 12,673.14 × 5,204.77
  4. Step 4: Simplify right side
    9,183.75x = 65,960,727.68
  5. Step 5: Solve for x
    x = 65,960,727.68/9,183.75
  6. Step 6: Final answer
    x = 7,182.33

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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.