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Finding the Fourth Proportional to 9,267.44, 12,786.52 and 5,287.12

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Solution

The fourth proportional to 9,267.44, 12,786.52 and 5,287.12 is: 7,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.44 : 12,786.52 = 5,287.12 : x
  2. Step 2: Convert to fraction form
    9,267.44/12,786.52 = 5,287.12/x
  3. Step 3: Cross multiply
    9,267.44x = 12,786.52 × 5,287.12
  4. Step 4: Simplify right side
    9,267.44x = 67,603,865.62
  5. Step 5: Solve for x
    x = 67,603,865.62/9,267.44
  6. Step 6: Final answer
    x = 7,294.77

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