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Finding the Fourth Proportional to 9,901.13, 14,831.64 and 8,252.37

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Solution

The fourth proportional to 9,901.13, 14,831.64 and 8,252.37 is: 12,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.13 : 14,831.64 = 8,252.37 : x
  2. Step 2: Convert to fraction form
    9,901.13/14,831.64 = 8,252.37/x
  3. Step 3: Cross multiply
    9,901.13x = 14,831.64 × 8,252.37
  4. Step 4: Simplify right side
    9,901.13x = 122,396,180.99
  5. Step 5: Solve for x
    x = 122,396,180.99/9,901.13
  6. Step 6: Final answer
    x = 12,361.85

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Why These Related Problems?

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