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Finding the Fourth Proportional to 7,200.84, 9,872.34 and 7,069.62

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Solution

The fourth proportional to 7,200.84, 9,872.34 and 7,069.62 is: 9,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.84 : 9,872.34 = 7,069.62 : x
  2. Step 2: Convert to fraction form
    7,200.84/9,872.34 = 7,069.62/x
  3. Step 3: Cross multiply
    7,200.84x = 9,872.34 × 7,069.62
  4. Step 4: Simplify right side
    7,200.84x = 69,793,692.31
  5. Step 5: Solve for x
    x = 69,793,692.31/7,200.84
  6. Step 6: Final answer
    x = 9,692.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.