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Finding the Fourth Proportional to 9,183.13, 12,672.52 and 4,991.38

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Solution

The fourth proportional to 9,183.13, 12,672.52 and 4,991.38 is: 6,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.13 : 12,672.52 = 4,991.38 : x
  2. Step 2: Convert to fraction form
    9,183.13/12,672.52 = 4,991.38/x
  3. Step 3: Cross multiply
    9,183.13x = 12,672.52 × 4,991.38
  4. Step 4: Simplify right side
    9,183.13x = 63,253,362.88
  5. Step 5: Solve for x
    x = 63,253,362.88/9,183.13
  6. Step 6: Final answer
    x = 6,888.00

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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.