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Finding the Fourth Proportional to 6,514.69, 9,785.13 and 3,887.33

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Solution

The fourth proportional to 6,514.69, 9,785.13 and 3,887.33 is: 5,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.69 : 9,785.13 = 3,887.33 : x
  2. Step 2: Convert to fraction form
    6,514.69/9,785.13 = 3,887.33/x
  3. Step 3: Cross multiply
    6,514.69x = 9,785.13 × 3,887.33
  4. Step 4: Simplify right side
    6,514.69x = 38,037,976.83
  5. Step 5: Solve for x
    x = 38,037,976.83/6,514.69
  6. Step 6: Final answer
    x = 5,838.80

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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.