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Finding the Fourth Proportional to 6,509.36, 8,983.80 and 3,992.96

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Solution

The fourth proportional to 6,509.36, 8,983.80 and 3,992.96 is: 5,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.36 : 8,983.80 = 3,992.96 : x
  2. Step 2: Convert to fraction form
    6,509.36/8,983.80 = 3,992.96/x
  3. Step 3: Cross multiply
    6,509.36x = 8,983.80 × 3,992.96
  4. Step 4: Simplify right side
    6,509.36x = 35,871,954.05
  5. Step 5: Solve for x
    x = 35,871,954.05/6,509.36
  6. Step 6: Final answer
    x = 5,510.83

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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.