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Finding the Fourth Proportional to 7,609.20, 10,433.50 and 6,860.22

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Solution

The fourth proportional to 7,609.20, 10,433.50 and 6,860.22 is: 9,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.20 : 10,433.50 = 6,860.22 : x
  2. Step 2: Convert to fraction form
    7,609.20/10,433.50 = 6,860.22/x
  3. Step 3: Cross multiply
    7,609.20x = 10,433.50 × 6,860.22
  4. Step 4: Simplify right side
    7,609.20x = 71,576,105.37
  5. Step 5: Solve for x
    x = 71,576,105.37/7,609.20
  6. Step 6: Final answer
    x = 9,406.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.