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Finding the Fourth Proportional to 9,959.78, 13,742.62 and 6,183.86

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Solution

The fourth proportional to 9,959.78, 13,742.62 and 6,183.86 is: 8,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.78 : 13,742.62 = 6,183.86 : x
  2. Step 2: Convert to fraction form
    9,959.78/13,742.62 = 6,183.86/x
  3. Step 3: Cross multiply
    9,959.78x = 13,742.62 × 6,183.86
  4. Step 4: Simplify right side
    9,959.78x = 84,982,457.01
  5. Step 5: Solve for x
    x = 84,982,457.01/9,959.78
  6. Step 6: Final answer
    x = 8,532.56

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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.