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Finding the Fourth Proportional to 6,825.86, 9,416.25 and 3,991.38

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Solution

The fourth proportional to 6,825.86, 9,416.25 and 3,991.38 is: 5,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.86 : 9,416.25 = 3,991.38 : x
  2. Step 2: Convert to fraction form
    6,825.86/9,416.25 = 3,991.38/x
  3. Step 3: Cross multiply
    6,825.86x = 9,416.25 × 3,991.38
  4. Step 4: Simplify right side
    6,825.86x = 37,583,831.93
  5. Step 5: Solve for x
    x = 37,583,831.93/6,825.86
  6. Step 6: Final answer
    x = 5,506.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.