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Finding the Fourth Proportional to 6,514.70, 9,770.96 and 2,816.24

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Solution

The fourth proportional to 6,514.70, 9,770.96 and 2,816.24 is: 4,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.70 : 9,770.96 = 2,816.24 : x
  2. Step 2: Convert to fraction form
    6,514.70/9,770.96 = 2,816.24/x
  3. Step 3: Cross multiply
    6,514.70x = 9,770.96 × 2,816.24
  4. Step 4: Simplify right side
    6,514.70x = 27,517,326.58
  5. Step 5: Solve for x
    x = 27,517,326.58/6,514.70
  6. Step 6: Final answer
    x = 4,223.89

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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.