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Finding the Fourth Proportional to 6,832.37, 9,425.94 and 4,175.17

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Solution

The fourth proportional to 6,832.37, 9,425.94 and 4,175.17 is: 5,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.37 : 9,425.94 = 4,175.17 : x
  2. Step 2: Convert to fraction form
    6,832.37/9,425.94 = 4,175.17/x
  3. Step 3: Cross multiply
    6,832.37x = 9,425.94 × 4,175.17
  4. Step 4: Simplify right side
    6,832.37x = 39,354,862.69
  5. Step 5: Solve for x
    x = 39,354,862.69/6,832.37
  6. Step 6: Final answer
    x = 5,760.06

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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.