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Finding the Fourth Proportional to 9,334.48, 13,976.88 and 8,227.36

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Solution

The fourth proportional to 9,334.48, 13,976.88 and 8,227.36 is: 12,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.48 : 13,976.88 = 8,227.36 : x
  2. Step 2: Convert to fraction form
    9,334.48/13,976.88 = 8,227.36/x
  3. Step 3: Cross multiply
    9,334.48x = 13,976.88 × 8,227.36
  4. Step 4: Simplify right side
    9,334.48x = 114,992,823.44
  5. Step 5: Solve for x
    x = 114,992,823.44/9,334.48
  6. Step 6: Final answer
    x = 12,319.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.