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Finding the Fourth Proportional to 9,692.13, 14,546.49 and 3,852.84

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Solution

The fourth proportional to 9,692.13, 14,546.49 and 3,852.84 is: 5,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.13 : 14,546.49 = 3,852.84 : x
  2. Step 2: Convert to fraction form
    9,692.13/14,546.49 = 3,852.84/x
  3. Step 3: Cross multiply
    9,692.13x = 14,546.49 × 3,852.84
  4. Step 4: Simplify right side
    9,692.13x = 56,045,298.53
  5. Step 5: Solve for x
    x = 56,045,298.53/9,692.13
  6. Step 6: Final answer
    x = 5,782.56

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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.