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Finding the Fourth Proportional to 6,367.04, 9,540.02 and 2,469.32

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Solution

The fourth proportional to 6,367.04, 9,540.02 and 2,469.32 is: 3,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.04 : 9,540.02 = 2,469.32 : x
  2. Step 2: Convert to fraction form
    6,367.04/9,540.02 = 2,469.32/x
  3. Step 3: Cross multiply
    6,367.04x = 9,540.02 × 2,469.32
  4. Step 4: Simplify right side
    6,367.04x = 23,557,362.19
  5. Step 5: Solve for x
    x = 23,557,362.19/6,367.04
  6. Step 6: Final answer
    x = 3,699.89

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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.