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Finding the Fourth Proportional to 9,183.28, 12,673 and 4,991.52

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Solution

The fourth proportional to 9,183.28, 12,673 and 4,991.52 is: 6,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.28 : 12,673 = 4,991.52 : x
  2. Step 2: Convert to fraction form
    9,183.28/12,673 = 4,991.52/x
  3. Step 3: Cross multiply
    9,183.28x = 12,673 × 4,991.52
  4. Step 4: Simplify right side
    9,183.28x = 63,257,532.96
  5. Step 5: Solve for x
    x = 63,257,532.96/9,183.28
  6. Step 6: Final answer
    x = 6,888.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.