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Finding the Fourth Proportional to 6,334.06, 9,493.80 and 3,995.80

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Solution

The fourth proportional to 6,334.06, 9,493.80 and 3,995.80 is: 5,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.06 : 9,493.80 = 3,995.80 : x
  2. Step 2: Convert to fraction form
    6,334.06/9,493.80 = 3,995.80/x
  3. Step 3: Cross multiply
    6,334.06x = 9,493.80 × 3,995.80
  4. Step 4: Simplify right side
    6,334.06x = 37,935,326.04
  5. Step 5: Solve for x
    x = 37,935,326.04/6,334.06
  6. Step 6: Final answer
    x = 5,989.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.