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Finding the Fourth Proportional to 6,252.96, 9,378.84 and 1,635.96

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Solution

The fourth proportional to 6,252.96, 9,378.84 and 1,635.96 is: 2,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.96 : 9,378.84 = 1,635.96 : x
  2. Step 2: Convert to fraction form
    6,252.96/9,378.84 = 1,635.96/x
  3. Step 3: Cross multiply
    6,252.96x = 9,378.84 × 1,635.96
  4. Step 4: Simplify right side
    6,252.96x = 15,343,407.09
  5. Step 5: Solve for x
    x = 15,343,407.09/6,252.96
  6. Step 6: Final answer
    x = 2,453.78

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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.