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Finding the Fourth Proportional to 6,362.28, 9,544.04 and 1,682.32

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Solution

The fourth proportional to 6,362.28, 9,544.04 and 1,682.32 is: 2,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.28 : 9,544.04 = 1,682.32 : x
  2. Step 2: Convert to fraction form
    6,362.28/9,544.04 = 1,682.32/x
  3. Step 3: Cross multiply
    6,362.28x = 9,544.04 × 1,682.32
  4. Step 4: Simplify right side
    6,362.28x = 16,056,129.37
  5. Step 5: Solve for x
    x = 16,056,129.37/6,362.28
  6. Step 6: Final answer
    x = 2,523.64

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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.