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Finding the Fourth Proportional to 6,816.18, 9,405.82 and 3,831.44

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Solution

The fourth proportional to 6,816.18, 9,405.82 and 3,831.44 is: 5,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.18 : 9,405.82 = 3,831.44 : x
  2. Step 2: Convert to fraction form
    6,816.18/9,405.82 = 3,831.44/x
  3. Step 3: Cross multiply
    6,816.18x = 9,405.82 × 3,831.44
  4. Step 4: Simplify right side
    6,816.18x = 36,037,792.74
  5. Step 5: Solve for x
    x = 36,037,792.74/6,816.18
  6. Step 6: Final answer
    x = 5,287.09

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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.