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Finding the Fourth Proportional to 9,831.57, 14,745.08 and 2,811.41

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Solution

The fourth proportional to 9,831.57, 14,745.08 and 2,811.41 is: 4,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.57 : 14,745.08 = 2,811.41 : x
  2. Step 2: Convert to fraction form
    9,831.57/14,745.08 = 2,811.41/x
  3. Step 3: Cross multiply
    9,831.57x = 14,745.08 × 2,811.41
  4. Step 4: Simplify right side
    9,831.57x = 41,454,391.64
  5. Step 5: Solve for x
    x = 41,454,391.64/9,831.57
  6. Step 6: Final answer
    x = 4,216.46

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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.