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Finding the Fourth Proportional to 9,539.22, 14,269.92 and 7,692.42

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Solution

The fourth proportional to 9,539.22, 14,269.92 and 7,692.42 is: 11,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.22 : 14,269.92 = 7,692.42 : x
  2. Step 2: Convert to fraction form
    9,539.22/14,269.92 = 7,692.42/x
  3. Step 3: Cross multiply
    9,539.22x = 14,269.92 × 7,692.42
  4. Step 4: Simplify right side
    9,539.22x = 109,770,218.01
  5. Step 5: Solve for x
    x = 109,770,218.01/9,539.22
  6. Step 6: Final answer
    x = 11,507.25

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1.5x scale

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.