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Finding the Fourth Proportional to 6,388.99, 9,584.16 and 2,692.03

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Solution

The fourth proportional to 6,388.99, 9,584.16 and 2,692.03 is: 4,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.99 : 9,584.16 = 2,692.03 : x
  2. Step 2: Convert to fraction form
    6,388.99/9,584.16 = 2,692.03/x
  3. Step 3: Cross multiply
    6,388.99x = 9,584.16 × 2,692.03
  4. Step 4: Simplify right side
    6,388.99x = 25,800,846.24
  5. Step 5: Solve for x
    x = 25,800,846.24/6,388.99
  6. Step 6: Final answer
    x = 4,038.33

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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.