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Finding the Fourth Proportional to 9,481.68, 14,205.48 and 5,583.96

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Solution

The fourth proportional to 9,481.68, 14,205.48 and 5,583.96 is: 8,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.68 : 14,205.48 = 5,583.96 : x
  2. Step 2: Convert to fraction form
    9,481.68/14,205.48 = 5,583.96/x
  3. Step 3: Cross multiply
    9,481.68x = 14,205.48 × 5,583.96
  4. Step 4: Simplify right side
    9,481.68x = 79,322,832.10
  5. Step 5: Solve for x
    x = 79,322,832.10/9,481.68
  6. Step 6: Final answer
    x = 8,365.90

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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.