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Finding the Fourth Proportional to 6,692.30, 9,232.41 and 4,704.16

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Solution

The fourth proportional to 6,692.30, 9,232.41 and 4,704.16 is: 6,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.30 : 9,232.41 = 4,704.16 : x
  2. Step 2: Convert to fraction form
    6,692.30/9,232.41 = 4,704.16/x
  3. Step 3: Cross multiply
    6,692.30x = 9,232.41 × 4,704.16
  4. Step 4: Simplify right side
    6,692.30x = 43,430,687.66
  5. Step 5: Solve for x
    x = 43,430,687.66/6,692.30
  6. Step 6: Final answer
    x = 6,489.65

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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.