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Finding the Fourth Proportional to 6,669.36, 9,997.32 and 3,204.72

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Solution

The fourth proportional to 6,669.36, 9,997.32 and 3,204.72 is: 4,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.36 : 9,997.32 = 3,204.72 : x
  2. Step 2: Convert to fraction form
    6,669.36/9,997.32 = 3,204.72/x
  3. Step 3: Cross multiply
    6,669.36x = 9,997.32 × 3,204.72
  4. Step 4: Simplify right side
    6,669.36x = 32,038,611.35
  5. Step 5: Solve for x
    x = 32,038,611.35/6,669.36
  6. Step 6: Final answer
    x = 4,803.85

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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.