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Finding the Fourth Proportional to 6,342.58, 9,514.96 and 2,183.02

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Solution

The fourth proportional to 6,342.58, 9,514.96 and 2,183.02 is: 3,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.58 : 9,514.96 = 2,183.02 : x
  2. Step 2: Convert to fraction form
    6,342.58/9,514.96 = 2,183.02/x
  3. Step 3: Cross multiply
    6,342.58x = 9,514.96 × 2,183.02
  4. Step 4: Simplify right side
    6,342.58x = 20,771,347.98
  5. Step 5: Solve for x
    x = 20,771,347.98/6,342.58
  6. Step 6: Final answer
    x = 3,274.91

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