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Finding the Fourth Proportional to 9,571.14, 13,208.16 and 5,379.39

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Solution

The fourth proportional to 9,571.14, 13,208.16 and 5,379.39 is: 7,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.14 : 13,208.16 = 5,379.39 : x
  2. Step 2: Convert to fraction form
    9,571.14/13,208.16 = 5,379.39/x
  3. Step 3: Cross multiply
    9,571.14x = 13,208.16 × 5,379.39
  4. Step 4: Simplify right side
    9,571.14x = 71,051,843.82
  5. Step 5: Solve for x
    x = 71,051,843.82/9,571.14
  6. Step 6: Final answer
    x = 7,423.55

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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.