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Finding the Fourth Proportional to 7,222.20, 9,957.38 and 5,923.89

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Solution

The fourth proportional to 7,222.20, 9,957.38 and 5,923.89 is: 8,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.20 : 9,957.38 = 5,923.89 : x
  2. Step 2: Convert to fraction form
    7,222.20/9,957.38 = 5,923.89/x
  3. Step 3: Cross multiply
    7,222.20x = 9,957.38 × 5,923.89
  4. Step 4: Simplify right side
    7,222.20x = 58,986,394.19
  5. Step 5: Solve for x
    x = 58,986,394.19/7,222.20
  6. Step 6: Final answer
    x = 8,167.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.