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Finding the Fourth Proportional to 6,514.26, 9,769.38 and 2,353.74

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Solution

The fourth proportional to 6,514.26, 9,769.38 and 2,353.74 is: 3,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.26 : 9,769.38 = 2,353.74 : x
  2. Step 2: Convert to fraction form
    6,514.26/9,769.38 = 2,353.74/x
  3. Step 3: Cross multiply
    6,514.26x = 9,769.38 × 2,353.74
  4. Step 4: Simplify right side
    6,514.26x = 22,994,580.48
  5. Step 5: Solve for x
    x = 22,994,580.48/6,514.26
  6. Step 6: Final answer
    x = 3,529.88

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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.