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Finding the Fourth Proportional to 6,675.84, 9,213.24 and 3,692.16

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Solution

The fourth proportional to 6,675.84, 9,213.24 and 3,692.16 is: 5,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.84 : 9,213.24 = 3,692.16 : x
  2. Step 2: Convert to fraction form
    6,675.84/9,213.24 = 3,692.16/x
  3. Step 3: Cross multiply
    6,675.84x = 9,213.24 × 3,692.16
  4. Step 4: Simplify right side
    6,675.84x = 34,016,756.20
  5. Step 5: Solve for x
    x = 34,016,756.20/6,675.84
  6. Step 6: Final answer
    x = 5,095.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.