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Finding the Fourth Proportional to 6,815.34, 9,405.12 and 3,831.16

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Solution

The fourth proportional to 6,815.34, 9,405.12 and 3,831.16 is: 5,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.34 : 9,405.12 = 3,831.16 : x
  2. Step 2: Convert to fraction form
    6,815.34/9,405.12 = 3,831.16/x
  3. Step 3: Cross multiply
    6,815.34x = 9,405.12 × 3,831.16
  4. Step 4: Simplify right side
    6,815.34x = 36,032,519.54
  5. Step 5: Solve for x
    x = 36,032,519.54/6,815.34
  6. Step 6: Final answer
    x = 5,286.97

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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.