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Finding the Fourth Proportional to 9,499.50, 14,249.08 and 3,657.37

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Solution

The fourth proportional to 9,499.50, 14,249.08 and 3,657.37 is: 5,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.50 : 14,249.08 = 3,657.37 : x
  2. Step 2: Convert to fraction form
    9,499.50/14,249.08 = 3,657.37/x
  3. Step 3: Cross multiply
    9,499.50x = 14,249.08 × 3,657.37
  4. Step 4: Simplify right side
    9,499.50x = 52,114,157.72
  5. Step 5: Solve for x
    x = 52,114,157.72/9,499.50
  6. Step 6: Final answer
    x = 5,485.99

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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.