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Finding the Fourth Proportional to 9,692.21, 14,540.82 and 4,066.86

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Solution

The fourth proportional to 9,692.21, 14,540.82 and 4,066.86 is: 6,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.21 : 14,540.82 = 4,066.86 : x
  2. Step 2: Convert to fraction form
    9,692.21/14,540.82 = 4,066.86/x
  3. Step 3: Cross multiply
    9,692.21x = 14,540.82 × 4,066.86
  4. Step 4: Simplify right side
    9,692.21x = 59,135,479.23
  5. Step 5: Solve for x
    x = 59,135,479.23/9,692.21
  6. Step 6: Final answer
    x = 6,101.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.