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Finding the Fourth Proportional to 9,713.75, 14,573.19 and 3,474.38

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Solution

The fourth proportional to 9,713.75, 14,573.19 and 3,474.38 is: 5,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.75 : 14,573.19 = 3,474.38 : x
  2. Step 2: Convert to fraction form
    9,713.75/14,573.19 = 3,474.38/x
  3. Step 3: Cross multiply
    9,713.75x = 14,573.19 × 3,474.38
  4. Step 4: Simplify right side
    9,713.75x = 50,632,782.50
  5. Step 5: Solve for x
    x = 50,632,782.50/9,713.75
  6. Step 6: Final answer
    x = 5,212.49

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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.