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Finding the Fourth Proportional to 9,754.56, 14,632.80 and 2,829.12

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Solution

The fourth proportional to 9,754.56, 14,632.80 and 2,829.12 is: 4,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.56 : 14,632.80 = 2,829.12 : x
  2. Step 2: Convert to fraction form
    9,754.56/14,632.80 = 2,829.12/x
  3. Step 3: Cross multiply
    9,754.56x = 14,632.80 × 2,829.12
  4. Step 4: Simplify right side
    9,754.56x = 41,397,947.14
  5. Step 5: Solve for x
    x = 41,397,947.14/9,754.56
  6. Step 6: Final answer
    x = 4,243.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.