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Finding the Fourth Proportional to 9,400.21, 12,972.41 and 6,044.12

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Solution

The fourth proportional to 9,400.21, 12,972.41 and 6,044.12 is: 8,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.21 : 12,972.41 = 6,044.12 : x
  2. Step 2: Convert to fraction form
    9,400.21/12,972.41 = 6,044.12/x
  3. Step 3: Cross multiply
    9,400.21x = 12,972.41 × 6,044.12
  4. Step 4: Simplify right side
    9,400.21x = 78,406,850.27
  5. Step 5: Solve for x
    x = 78,406,850.27/9,400.21
  6. Step 6: Final answer
    x = 8,340.97

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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.