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Finding the Fourth Proportional to 6,815.36, 9,405.38 and 3,831.47

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Solution

The fourth proportional to 6,815.36, 9,405.38 and 3,831.47 is: 5,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.36 : 9,405.38 = 3,831.47 : x
  2. Step 2: Convert to fraction form
    6,815.36/9,405.38 = 3,831.47/x
  3. Step 3: Cross multiply
    6,815.36x = 9,405.38 × 3,831.47
  4. Step 4: Simplify right side
    6,815.36x = 36,036,431.31
  5. Step 5: Solve for x
    x = 36,036,431.31/6,815.36
  6. Step 6: Final answer
    x = 5,287.53

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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.