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Finding the Fourth Proportional to 9,323.05, 13,984.09 and 3,479.20

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Solution

The fourth proportional to 9,323.05, 13,984.09 and 3,479.20 is: 5,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.05 : 13,984.09 = 3,479.20 : x
  2. Step 2: Convert to fraction form
    9,323.05/13,984.09 = 3,479.20/x
  3. Step 3: Cross multiply
    9,323.05x = 13,984.09 × 3,479.20
  4. Step 4: Simplify right side
    9,323.05x = 48,653,500.50
  5. Step 5: Solve for x
    x = 48,653,500.50/9,323.05
  6. Step 6: Final answer
    x = 5,218.63

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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.