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Finding the Fourth Proportional to 6,897.89, 9,518.43 and 3,872.32

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Solution

The fourth proportional to 6,897.89, 9,518.43 and 3,872.32 is: 5,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.89 : 9,518.43 = 3,872.32 : x
  2. Step 2: Convert to fraction form
    6,897.89/9,518.43 = 3,872.32/x
  3. Step 3: Cross multiply
    6,897.89x = 9,518.43 × 3,872.32
  4. Step 4: Simplify right side
    6,897.89x = 36,858,383.06
  5. Step 5: Solve for x
    x = 36,858,383.06/6,897.89
  6. Step 6: Final answer
    x = 5,343.43

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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.