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Finding the Fourth Proportional to 6,433.16, 9,692.99 and 5,817.56

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Solution

The fourth proportional to 6,433.16, 9,692.99 and 5,817.56 is: 8,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.16 : 9,692.99 = 5,817.56 : x
  2. Step 2: Convert to fraction form
    6,433.16/9,692.99 = 5,817.56/x
  3. Step 3: Cross multiply
    6,433.16x = 9,692.99 × 5,817.56
  4. Step 4: Simplify right side
    6,433.16x = 56,389,550.90
  5. Step 5: Solve for x
    x = 56,389,550.90/6,433.16
  6. Step 6: Final answer
    x = 8,765.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.