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Finding the Fourth Proportional to 9,481.60, 14,222.56 and 9,468

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Solution

The fourth proportional to 9,481.60, 14,222.56 and 9,468 is: 14,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.60 : 14,222.56 = 9,468 : x
  2. Step 2: Convert to fraction form
    9,481.60/14,222.56 = 9,468/x
  3. Step 3: Cross multiply
    9,481.60x = 14,222.56 × 9,468
  4. Step 4: Simplify right side
    9,481.60x = 134,659,198.08
  5. Step 5: Solve for x
    x = 134,659,198.08/9,481.60
  6. Step 6: Final answer
    x = 14,202.16

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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.