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Finding the Fourth Proportional to 7,183.65, 9,909.39 and 4,311.64

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Solution

The fourth proportional to 7,183.65, 9,909.39 and 4,311.64 is: 5,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.65 : 9,909.39 = 4,311.64 : x
  2. Step 2: Convert to fraction form
    7,183.65/9,909.39 = 4,311.64/x
  3. Step 3: Cross multiply
    7,183.65x = 9,909.39 × 4,311.64
  4. Step 4: Simplify right side
    7,183.65x = 42,725,661.97
  5. Step 5: Solve for x
    x = 42,725,661.97/7,183.65
  6. Step 6: Final answer
    x = 5,947.63

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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.