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Finding the Fourth Proportional to 6,466.37, 9,692.65 and 3,687.06

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Solution

The fourth proportional to 6,466.37, 9,692.65 and 3,687.06 is: 5,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.37 : 9,692.65 = 3,687.06 : x
  2. Step 2: Convert to fraction form
    6,466.37/9,692.65 = 3,687.06/x
  3. Step 3: Cross multiply
    6,466.37x = 9,692.65 × 3,687.06
  4. Step 4: Simplify right side
    6,466.37x = 35,737,333.65
  5. Step 5: Solve for x
    x = 35,737,333.65/6,466.37
  6. Step 6: Final answer
    x = 5,526.65

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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.