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Finding the Fourth Proportional to 6,379.20, 9,230.40 and 6,379.20

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Solution

The fourth proportional to 6,379.20, 9,230.40 and 6,379.20 is: 9,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.20 : 9,230.40 = 6,379.20 : x
  2. Step 2: Convert to fraction form
    6,379.20/9,230.40 = 6,379.20/x
  3. Step 3: Cross multiply
    6,379.20x = 9,230.40 × 6,379.20
  4. Step 4: Simplify right side
    6,379.20x = 58,882,567.68
  5. Step 5: Solve for x
    x = 58,882,567.68/6,379.20
  6. Step 6: Final answer
    x = 9,230.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.