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Finding the Fourth Proportional to 6,514.14, 9,770.13 and 2,353.35

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Solution

The fourth proportional to 6,514.14, 9,770.13 and 2,353.35 is: 3,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.14 : 9,770.13 = 2,353.35 : x
  2. Step 2: Convert to fraction form
    6,514.14/9,770.13 = 2,353.35/x
  3. Step 3: Cross multiply
    6,514.14x = 9,770.13 × 2,353.35
  4. Step 4: Simplify right side
    6,514.14x = 22,992,535.44
  5. Step 5: Solve for x
    x = 22,992,535.44/6,514.14
  6. Step 6: Final answer
    x = 3,529.63

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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.