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Finding the Fourth Proportional to 6,475.82, 8,937.42 and 3,643.31

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Solution

The fourth proportional to 6,475.82, 8,937.42 and 3,643.31 is: 5,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.82 : 8,937.42 = 3,643.31 : x
  2. Step 2: Convert to fraction form
    6,475.82/8,937.42 = 3,643.31/x
  3. Step 3: Cross multiply
    6,475.82x = 8,937.42 × 3,643.31
  4. Step 4: Simplify right side
    6,475.82x = 32,561,791.66
  5. Step 5: Solve for x
    x = 32,561,791.66/6,475.82
  6. Step 6: Final answer
    x = 5,028.21

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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.