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Finding the Fourth Proportional to 6,571.14, 9,065.43 and 4,212.42

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Solution

The fourth proportional to 6,571.14, 9,065.43 and 4,212.42 is: 5,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.14 : 9,065.43 = 4,212.42 : x
  2. Step 2: Convert to fraction form
    6,571.14/9,065.43 = 4,212.42/x
  3. Step 3: Cross multiply
    6,571.14x = 9,065.43 × 4,212.42
  4. Step 4: Simplify right side
    6,571.14x = 38,187,398.64
  5. Step 5: Solve for x
    x = 38,187,398.64/6,571.14
  6. Step 6: Final answer
    x = 5,811.38

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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.