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Finding the Fourth Proportional to 6,663.69, 9,195.39 and 3,831.08

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Solution

The fourth proportional to 6,663.69, 9,195.39 and 3,831.08 is: 5,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.69 : 9,195.39 = 3,831.08 : x
  2. Step 2: Convert to fraction form
    6,663.69/9,195.39 = 3,831.08/x
  3. Step 3: Cross multiply
    6,663.69x = 9,195.39 × 3,831.08
  4. Step 4: Simplify right side
    6,663.69x = 35,228,228.74
  5. Step 5: Solve for x
    x = 35,228,228.74/6,663.69
  6. Step 6: Final answer
    x = 5,286.59

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