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Finding the Fourth Proportional to 9,144.19, 13,713.57 and 3,879.14

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Solution

The fourth proportional to 9,144.19, 13,713.57 and 3,879.14 is: 5,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.19 : 13,713.57 = 3,879.14 : x
  2. Step 2: Convert to fraction form
    9,144.19/13,713.57 = 3,879.14/x
  3. Step 3: Cross multiply
    9,144.19x = 13,713.57 × 3,879.14
  4. Step 4: Simplify right side
    9,144.19x = 53,196,866.50
  5. Step 5: Solve for x
    x = 53,196,866.50/9,144.19
  6. Step 6: Final answer
    x = 5,817.56

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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.