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Finding the Fourth Proportional to 9,321.75, 13,982.76 and 2,396.25

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Solution

The fourth proportional to 9,321.75, 13,982.76 and 2,396.25 is: 3,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.75 : 13,982.76 = 2,396.25 : x
  2. Step 2: Convert to fraction form
    9,321.75/13,982.76 = 2,396.25/x
  3. Step 3: Cross multiply
    9,321.75x = 13,982.76 × 2,396.25
  4. Step 4: Simplify right side
    9,321.75x = 33,506,188.65
  5. Step 5: Solve for x
    x = 33,506,188.65/9,321.75
  6. Step 6: Final answer
    x = 3,594.41

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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.