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Finding the Fourth Proportional to 6,469.47, 9,713.93 and 3,699.27

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Solution

The fourth proportional to 6,469.47, 9,713.93 and 3,699.27 is: 5,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.47 : 9,713.93 = 3,699.27 : x
  2. Step 2: Convert to fraction form
    6,469.47/9,713.93 = 3,699.27/x
  3. Step 3: Cross multiply
    6,469.47x = 9,713.93 × 3,699.27
  4. Step 4: Simplify right side
    6,469.47x = 35,934,431.33
  5. Step 5: Solve for x
    x = 35,934,431.33/6,469.47
  6. Step 6: Final answer
    x = 5,554.46

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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.