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Finding the Fourth Proportional to 9,467.64, 14,201.48 and 9,453.96

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Solution

The fourth proportional to 9,467.64, 14,201.48 and 9,453.96 is: 14,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.64 : 14,201.48 = 9,453.96 : x
  2. Step 2: Convert to fraction form
    9,467.64/14,201.48 = 9,453.96/x
  3. Step 3: Cross multiply
    9,467.64x = 14,201.48 × 9,453.96
  4. Step 4: Simplify right side
    9,467.64x = 134,260,223.86
  5. Step 5: Solve for x
    x = 134,260,223.86/9,467.64
  6. Step 6: Final answer
    x = 14,180.96

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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.