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Finding the Fourth Proportional to 9,616.21, 14,425.84 and 3,692.86

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Solution

The fourth proportional to 9,616.21, 14,425.84 and 3,692.86 is: 5,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.21 : 14,425.84 = 3,692.86 : x
  2. Step 2: Convert to fraction form
    9,616.21/14,425.84 = 3,692.86/x
  3. Step 3: Cross multiply
    9,616.21x = 14,425.84 × 3,692.86
  4. Step 4: Simplify right side
    9,616.21x = 53,272,576.05
  5. Step 5: Solve for x
    x = 53,272,576.05/9,616.21
  6. Step 6: Final answer
    x = 5,539.87

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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.