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Finding the Fourth Proportional to 9,474.82, 14,213.95 and 3,234.51

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Solution

The fourth proportional to 9,474.82, 14,213.95 and 3,234.51 is: 4,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.82 : 14,213.95 = 3,234.51 : x
  2. Step 2: Convert to fraction form
    9,474.82/14,213.95 = 3,234.51/x
  3. Step 3: Cross multiply
    9,474.82x = 14,213.95 × 3,234.51
  4. Step 4: Simplify right side
    9,474.82x = 45,975,155.33
  5. Step 5: Solve for x
    x = 45,975,155.33/9,474.82
  6. Step 6: Final answer
    x = 4,852.35

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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.