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Finding the Fourth Proportional to 9,396.86, 12,954.27 and 6,743.42

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Solution

The fourth proportional to 9,396.86, 12,954.27 and 6,743.42 is: 9,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.86 : 12,954.27 = 6,743.42 : x
  2. Step 2: Convert to fraction form
    9,396.86/12,954.27 = 6,743.42/x
  3. Step 3: Cross multiply
    9,396.86x = 12,954.27 × 6,743.42
  4. Step 4: Simplify right side
    9,396.86x = 87,356,083.40
  5. Step 5: Solve for x
    x = 87,356,083.40/9,396.86
  6. Step 6: Final answer
    x = 9,296.31

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1.5x scale

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.