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Finding the Fourth Proportional to 9,831.97, 14,726.49 and 7,974.44

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Solution

The fourth proportional to 9,831.97, 14,726.49 and 7,974.44 is: 11,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.97 : 14,726.49 = 7,974.44 : x
  2. Step 2: Convert to fraction form
    9,831.97/14,726.49 = 7,974.44/x
  3. Step 3: Cross multiply
    9,831.97x = 14,726.49 × 7,974.44
  4. Step 4: Simplify right side
    9,831.97x = 117,435,510.92
  5. Step 5: Solve for x
    x = 117,435,510.92/9,831.97
  6. Step 6: Final answer
    x = 11,944.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.