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Finding the Fourth Proportional to 6,297.13, 8,692.41 and 5,409.37

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Solution

The fourth proportional to 6,297.13, 8,692.41 and 5,409.37 is: 7,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.13 : 8,692.41 = 5,409.37 : x
  2. Step 2: Convert to fraction form
    6,297.13/8,692.41 = 5,409.37/x
  3. Step 3: Cross multiply
    6,297.13x = 8,692.41 × 5,409.37
  4. Step 4: Simplify right side
    6,297.13x = 47,020,461.88
  5. Step 5: Solve for x
    x = 47,020,461.88/6,297.13
  6. Step 6: Final answer
    x = 7,466.97

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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.