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Finding the Fourth Proportional to 6,831.65, 9,426.66 and 3,846.89

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Solution

The fourth proportional to 6,831.65, 9,426.66 and 3,846.89 is: 5,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.65 : 9,426.66 = 3,846.89 : x
  2. Step 2: Convert to fraction form
    6,831.65/9,426.66 = 3,846.89/x
  3. Step 3: Cross multiply
    6,831.65x = 9,426.66 × 3,846.89
  4. Step 4: Simplify right side
    6,831.65x = 36,263,324.09
  5. Step 5: Solve for x
    x = 36,263,324.09/6,831.65
  6. Step 6: Final answer
    x = 5,308.14

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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.