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Finding the Fourth Proportional to 9,817.28, 14,725.86 and 3,244

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Solution

The fourth proportional to 9,817.28, 14,725.86 and 3,244 is: 4,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.28 : 14,725.86 = 3,244 : x
  2. Step 2: Convert to fraction form
    9,817.28/14,725.86 = 3,244/x
  3. Step 3: Cross multiply
    9,817.28x = 14,725.86 × 3,244
  4. Step 4: Simplify right side
    9,817.28x = 47,770,689.84
  5. Step 5: Solve for x
    x = 47,770,689.84/9,817.28
  6. Step 6: Final answer
    x = 4,865.98

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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.