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Finding the Fourth Proportional to 9,124.82, 13,692.51 and 4,965.26

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Solution

The fourth proportional to 9,124.82, 13,692.51 and 4,965.26 is: 7,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.82 : 13,692.51 = 4,965.26 : x
  2. Step 2: Convert to fraction form
    9,124.82/13,692.51 = 4,965.26/x
  3. Step 3: Cross multiply
    9,124.82x = 13,692.51 × 4,965.26
  4. Step 4: Simplify right side
    9,124.82x = 67,986,872.20
  5. Step 5: Solve for x
    x = 67,986,872.20/9,124.82
  6. Step 6: Final answer
    x = 7,450.76

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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.