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Finding the Fourth Proportional to 6,831.42, 9,426.07 and 3,846.16

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Solution

The fourth proportional to 6,831.42, 9,426.07 and 3,846.16 is: 5,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.42 : 9,426.07 = 3,846.16 : x
  2. Step 2: Convert to fraction form
    6,831.42/9,426.07 = 3,846.16/x
  3. Step 3: Cross multiply
    6,831.42x = 9,426.07 × 3,846.16
  4. Step 4: Simplify right side
    6,831.42x = 36,254,173.39
  5. Step 5: Solve for x
    x = 36,254,173.39/6,831.42
  6. Step 6: Final answer
    x = 5,306.97

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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.