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Finding the Fourth Proportional to 9,276, 13,914.81 and 2,350.50

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Solution

The fourth proportional to 9,276, 13,914.81 and 2,350.50 is: 3,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276 : 13,914.81 = 2,350.50 : x
  2. Step 2: Convert to fraction form
    9,276/13,914.81 = 2,350.50/x
  3. Step 3: Cross multiply
    9,276x = 13,914.81 × 2,350.50
  4. Step 4: Simplify right side
    9,276x = 32,706,760.91
  5. Step 5: Solve for x
    x = 32,706,760.91/9,276
  6. Step 6: Final answer
    x = 3,525.96

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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.