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Finding the Fourth Proportional to 9,390, 12,958.20 and 5,198.28

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Solution

The fourth proportional to 9,390, 12,958.20 and 5,198.28 is: 7,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390 : 12,958.20 = 5,198.28 : x
  2. Step 2: Convert to fraction form
    9,390/12,958.20 = 5,198.28/x
  3. Step 3: Cross multiply
    9,390x = 12,958.20 × 5,198.28
  4. Step 4: Simplify right side
    9,390x = 67,360,351.90
  5. Step 5: Solve for x
    x = 67,360,351.90/9,390
  6. Step 6: Final answer
    x = 7,173.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.