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Finding the Fourth Proportional to 6,805.36, 10,199.08 and 6,361.43

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Solution

The fourth proportional to 6,805.36, 10,199.08 and 6,361.43 is: 9,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.36 : 10,199.08 = 6,361.43 : x
  2. Step 2: Convert to fraction form
    6,805.36/10,199.08 = 6,361.43/x
  3. Step 3: Cross multiply
    6,805.36x = 10,199.08 × 6,361.43
  4. Step 4: Simplify right side
    6,805.36x = 64,880,666.59
  5. Step 5: Solve for x
    x = 64,880,666.59/6,805.36
  6. Step 6: Final answer
    x = 9,533.76

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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.