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Finding the Fourth Proportional to 9,222.40, 13,834.38 and 3,957.64

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Solution

The fourth proportional to 9,222.40, 13,834.38 and 3,957.64 is: 5,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.40 : 13,834.38 = 3,957.64 : x
  2. Step 2: Convert to fraction form
    9,222.40/13,834.38 = 3,957.64/x
  3. Step 3: Cross multiply
    9,222.40x = 13,834.38 × 3,957.64
  4. Step 4: Simplify right side
    9,222.40x = 54,751,495.66
  5. Step 5: Solve for x
    x = 54,751,495.66/9,222.40
  6. Step 6: Final answer
    x = 5,936.79

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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.