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Finding the Fourth Proportional to 9,394.19, 12,964.38 and 5,202.44

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Solution

The fourth proportional to 9,394.19, 12,964.38 and 5,202.44 is: 7,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.19 : 12,964.38 = 5,202.44 : x
  2. Step 2: Convert to fraction form
    9,394.19/12,964.38 = 5,202.44/x
  3. Step 3: Cross multiply
    9,394.19x = 12,964.38 × 5,202.44
  4. Step 4: Simplify right side
    9,394.19x = 67,446,409.09
  5. Step 5: Solve for x
    x = 67,446,409.09/9,394.19
  6. Step 6: Final answer
    x = 7,179.59

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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.