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Finding the Fourth Proportional to 9,754.80, 14,635.80 and 3,181.20

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Solution

The fourth proportional to 9,754.80, 14,635.80 and 3,181.20 is: 4,772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.80 : 14,635.80 = 3,181.20 : x
  2. Step 2: Convert to fraction form
    9,754.80/14,635.80 = 3,181.20/x
  3. Step 3: Cross multiply
    9,754.80x = 14,635.80 × 3,181.20
  4. Step 4: Simplify right side
    9,754.80x = 46,559,406.96
  5. Step 5: Solve for x
    x = 46,559,406.96/9,754.80
  6. Step 6: Final answer
    x = 4,772.97

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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.