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Finding the Fourth Proportional to 6,809.94, 9,396.41 and 4,292.46

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Solution

The fourth proportional to 6,809.94, 9,396.41 and 4,292.46 is: 5,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.94 : 9,396.41 = 4,292.46 : x
  2. Step 2: Convert to fraction form
    6,809.94/9,396.41 = 4,292.46/x
  3. Step 3: Cross multiply
    6,809.94x = 9,396.41 × 4,292.46
  4. Step 4: Simplify right side
    6,809.94x = 40,333,692.61
  5. Step 5: Solve for x
    x = 40,333,692.61/6,809.94
  6. Step 6: Final answer
    x = 5,922.77

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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.