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Finding the Fourth Proportional to 9,847.56, 14,766.20 and 4,847.82

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Solution

The fourth proportional to 9,847.56, 14,766.20 and 4,847.82 is: 7,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.56 : 14,766.20 = 4,847.82 : x
  2. Step 2: Convert to fraction form
    9,847.56/14,766.20 = 4,847.82/x
  3. Step 3: Cross multiply
    9,847.56x = 14,766.20 × 4,847.82
  4. Step 4: Simplify right side
    9,847.56x = 71,583,879.68
  5. Step 5: Solve for x
    x = 71,583,879.68/9,847.56
  6. Step 6: Final answer
    x = 7,269.20

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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.