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Finding the Fourth Proportional to 6,342.99, 9,514.54 and 2,833.17

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Solution

The fourth proportional to 6,342.99, 9,514.54 and 2,833.17 is: 4,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.99 : 9,514.54 = 2,833.17 : x
  2. Step 2: Convert to fraction form
    6,342.99/9,514.54 = 2,833.17/x
  3. Step 3: Cross multiply
    6,342.99x = 9,514.54 × 2,833.17
  4. Step 4: Simplify right side
    6,342.99x = 26,956,309.29
  5. Step 5: Solve for x
    x = 26,956,309.29/6,342.99
  6. Step 6: Final answer
    x = 4,249.78

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Why These Related Problems?

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