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Finding the Fourth Proportional to 9,571.86, 13,212.18 and 8,828.28

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Solution

The fourth proportional to 9,571.86, 13,212.18 and 8,828.28 is: 12,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.86 : 13,212.18 = 8,828.28 : x
  2. Step 2: Convert to fraction form
    9,571.86/13,212.18 = 8,828.28/x
  3. Step 3: Cross multiply
    9,571.86x = 13,212.18 × 8,828.28
  4. Step 4: Simplify right side
    9,571.86x = 116,640,824.45
  5. Step 5: Solve for x
    x = 116,640,824.45/9,571.86
  6. Step 6: Final answer
    x = 12,185.81

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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.