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Finding the Fourth Proportional to 6,983.58, 9,637.34 and 3,839.77

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Solution

The fourth proportional to 6,983.58, 9,637.34 and 3,839.77 is: 5,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.58 : 9,637.34 = 3,839.77 : x
  2. Step 2: Convert to fraction form
    6,983.58/9,637.34 = 3,839.77/x
  3. Step 3: Cross multiply
    6,983.58x = 9,637.34 × 3,839.77
  4. Step 4: Simplify right side
    6,983.58x = 37,005,161.86
  5. Step 5: Solve for x
    x = 37,005,161.86/6,983.58
  6. Step 6: Final answer
    x = 5,298.88

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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.