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Finding the Fourth Proportional to 9,713.34, 14,571.90 and 3,473.82

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Solution

The fourth proportional to 9,713.34, 14,571.90 and 3,473.82 is: 5,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.34 : 14,571.90 = 3,473.82 : x
  2. Step 2: Convert to fraction form
    9,713.34/14,571.90 = 3,473.82/x
  3. Step 3: Cross multiply
    9,713.34x = 14,571.90 × 3,473.82
  4. Step 4: Simplify right side
    9,713.34x = 50,620,157.66
  5. Step 5: Solve for x
    x = 50,620,157.66/9,713.34
  6. Step 6: Final answer
    x = 5,211.41

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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.