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Finding the Fourth Proportional to 6,189.42, 9,278.91 and 4,209.50

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Solution

The fourth proportional to 6,189.42, 9,278.91 and 4,209.50 is: 6,310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.42 : 9,278.91 = 4,209.50 : x
  2. Step 2: Convert to fraction form
    6,189.42/9,278.91 = 4,209.50/x
  3. Step 3: Cross multiply
    6,189.42x = 9,278.91 × 4,209.50
  4. Step 4: Simplify right side
    6,189.42x = 39,059,525.25
  5. Step 5: Solve for x
    x = 39,059,525.25/6,189.42
  6. Step 6: Final answer
    x = 6,310.69

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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.