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Finding the Fourth Proportional to 6,347.52, 9,514.35 and 2,183.58

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Solution

The fourth proportional to 6,347.52, 9,514.35 and 2,183.58 is: 3,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.52 : 9,514.35 = 2,183.58 : x
  2. Step 2: Convert to fraction form
    6,347.52/9,514.35 = 2,183.58/x
  3. Step 3: Cross multiply
    6,347.52x = 9,514.35 × 2,183.58
  4. Step 4: Simplify right side
    6,347.52x = 20,775,344.37
  5. Step 5: Solve for x
    x = 20,775,344.37/6,347.52
  6. Step 6: Final answer
    x = 3,272.99

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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.