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Finding the Fourth Proportional to 9,795.50, 14,693.18 and 3,947.98

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Solution

The fourth proportional to 9,795.50, 14,693.18 and 3,947.98 is: 5,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.50 : 14,693.18 = 3,947.98 : x
  2. Step 2: Convert to fraction form
    9,795.50/14,693.18 = 3,947.98/x
  3. Step 3: Cross multiply
    9,795.50x = 14,693.18 × 3,947.98
  4. Step 4: Simplify right side
    9,795.50x = 58,008,380.78
  5. Step 5: Solve for x
    x = 58,008,380.78/9,795.50
  6. Step 6: Final answer
    x = 5,921.94

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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.