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Finding the Fourth Proportional to 9,692.21, 14,540.13 and 6,408.06

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Solution

The fourth proportional to 9,692.21, 14,540.13 and 6,408.06 is: 9,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.21 : 14,540.13 = 6,408.06 : x
  2. Step 2: Convert to fraction form
    9,692.21/14,540.13 = 6,408.06/x
  3. Step 3: Cross multiply
    9,692.21x = 14,540.13 × 6,408.06
  4. Step 4: Simplify right side
    9,692.21x = 93,174,025.45
  5. Step 5: Solve for x
    x = 93,174,025.45/9,692.21
  6. Step 6: Final answer
    x = 9,613.29

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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.