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Finding the Fourth Proportional to 9,571.12, 13,208.16 and 5,379.38

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Solution

The fourth proportional to 9,571.12, 13,208.16 and 5,379.38 is: 7,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.12 : 13,208.16 = 5,379.38 : x
  2. Step 2: Convert to fraction form
    9,571.12/13,208.16 = 5,379.38/x
  3. Step 3: Cross multiply
    9,571.12x = 13,208.16 × 5,379.38
  4. Step 4: Simplify right side
    9,571.12x = 71,051,711.74
  5. Step 5: Solve for x
    x = 71,051,711.74/9,571.12
  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.