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Finding the Fourth Proportional to 9,222.84, 13,834.22 and 3,957.40

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Solution

The fourth proportional to 9,222.84, 13,834.22 and 3,957.40 is: 5,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.84 : 13,834.22 = 3,957.40 : x
  2. Step 2: Convert to fraction form
    9,222.84/13,834.22 = 3,957.40/x
  3. Step 3: Cross multiply
    9,222.84x = 13,834.22 × 3,957.40
  4. Step 4: Simplify right side
    9,222.84x = 54,747,542.23
  5. Step 5: Solve for x
    x = 54,747,542.23/9,222.84
  6. Step 6: Final answer
    x = 5,936.08

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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.