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Finding the Fourth Proportional to 6,933.96, 10,404 and 3,646.32

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Solution

The fourth proportional to 6,933.96, 10,404 and 3,646.32 is: 5,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.96 : 10,404 = 3,646.32 : x
  2. Step 2: Convert to fraction form
    6,933.96/10,404 = 3,646.32/x
  3. Step 3: Cross multiply
    6,933.96x = 10,404 × 3,646.32
  4. Step 4: Simplify right side
    6,933.96x = 37,936,313.28
  5. Step 5: Solve for x
    x = 37,936,313.28/6,933.96
  6. Step 6: Final answer
    x = 5,471.09

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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.