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Finding the Fourth Proportional to 6,234.60, 9,352.80 and 2,947.80

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Solution

The fourth proportional to 6,234.60, 9,352.80 and 2,947.80 is: 4,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.60 : 9,352.80 = 2,947.80 : x
  2. Step 2: Convert to fraction form
    6,234.60/9,352.80 = 2,947.80/x
  3. Step 3: Cross multiply
    6,234.60x = 9,352.80 × 2,947.80
  4. Step 4: Simplify right side
    6,234.60x = 27,570,183.84
  5. Step 5: Solve for x
    x = 27,570,183.84/6,234.60
  6. Step 6: Final answer
    x = 4,422.13

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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.