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Finding the Fourth Proportional to 6,831.18, 9,426.44 and 3,846.47

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Solution

The fourth proportional to 6,831.18, 9,426.44 and 3,846.47 is: 5,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.18 : 9,426.44 = 3,846.47 : x
  2. Step 2: Convert to fraction form
    6,831.18/9,426.44 = 3,846.47/x
  3. Step 3: Cross multiply
    6,831.18x = 9,426.44 × 3,846.47
  4. Step 4: Simplify right side
    6,831.18x = 36,258,481.15
  5. Step 5: Solve for x
    x = 36,258,481.15/6,831.18
  6. Step 6: Final answer
    x = 5,307.79

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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.