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Finding the Fourth Proportional to 6,974.67, 9,625.64 and 3,831.51

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Solution

The fourth proportional to 6,974.67, 9,625.64 and 3,831.51 is: 5,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.67 : 9,625.64 = 3,831.51 : x
  2. Step 2: Convert to fraction form
    6,974.67/9,625.64 = 3,831.51/x
  3. Step 3: Cross multiply
    6,974.67x = 9,625.64 × 3,831.51
  4. Step 4: Simplify right side
    6,974.67x = 36,880,716.76
  5. Step 5: Solve for x
    x = 36,880,716.76/6,974.67
  6. Step 6: Final answer
    x = 5,287.81

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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.