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Finding the Fourth Proportional to 9,183, 13,732.44 and 6,844.59

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Solution

The fourth proportional to 9,183, 13,732.44 and 6,844.59 is: 10,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183 : 13,732.44 = 6,844.59 : x
  2. Step 2: Convert to fraction form
    9,183/13,732.44 = 6,844.59/x
  3. Step 3: Cross multiply
    9,183x = 13,732.44 × 6,844.59
  4. Step 4: Simplify right side
    9,183x = 93,992,921.50
  5. Step 5: Solve for x
    x = 93,992,921.50/9,183
  6. Step 6: Final answer
    x = 10,235.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.