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Finding the Fourth Proportional to 6,983.46, 9,637.24 and 3,796.76

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Solution

The fourth proportional to 6,983.46, 9,637.24 and 3,796.76 is: 5,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.46 : 9,637.24 = 3,796.76 : x
  2. Step 2: Convert to fraction form
    6,983.46/9,637.24 = 3,796.76/x
  3. Step 3: Cross multiply
    6,983.46x = 9,637.24 × 3,796.76
  4. Step 4: Simplify right side
    6,983.46x = 36,590,287.34
  5. Step 5: Solve for x
    x = 36,590,287.34/6,983.46
  6. Step 6: Final answer
    x = 5,239.56

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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.