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Finding the Fourth Proportional to 9,754.46, 14,628.23 and 3,512.80

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Solution

The fourth proportional to 9,754.46, 14,628.23 and 3,512.80 is: 5,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.46 : 14,628.23 = 3,512.80 : x
  2. Step 2: Convert to fraction form
    9,754.46/14,628.23 = 3,512.80/x
  3. Step 3: Cross multiply
    9,754.46x = 14,628.23 × 3,512.80
  4. Step 4: Simplify right side
    9,754.46x = 51,386,080.00
  5. Step 5: Solve for x
    x = 51,386,080.00/9,754.46
  6. Step 6: Final answer
    x = 5,267.96

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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.