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Finding the Fourth Proportional to 9,467.53, 14,201.30 and 5,112.68

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Solution

The fourth proportional to 9,467.53, 14,201.30 and 5,112.68 is: 7,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.53 : 14,201.30 = 5,112.68 : x
  2. Step 2: Convert to fraction form
    9,467.53/14,201.30 = 5,112.68/x
  3. Step 3: Cross multiply
    9,467.53x = 14,201.30 × 5,112.68
  4. Step 4: Simplify right side
    9,467.53x = 72,606,644.26
  5. Step 5: Solve for x
    x = 72,606,644.26/9,467.53
  6. Step 6: Final answer
    x = 7,669.02

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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.