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Finding the Fourth Proportional to 6,426.56, 9,635.52 and 3,650.88

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Solution

The fourth proportional to 6,426.56, 9,635.52 and 3,650.88 is: 5,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.56 : 9,635.52 = 3,650.88 : x
  2. Step 2: Convert to fraction form
    6,426.56/9,635.52 = 3,650.88/x
  3. Step 3: Cross multiply
    6,426.56x = 9,635.52 × 3,650.88
  4. Step 4: Simplify right side
    6,426.56x = 35,178,127.26
  5. Step 5: Solve for x
    x = 35,178,127.26/6,426.56
  6. Step 6: Final answer
    x = 5,473.87

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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.