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Finding the Fourth Proportional to 9,453.78, 14,172.44 and 6,814.80

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Solution

The fourth proportional to 9,453.78, 14,172.44 and 6,814.80 is: 10,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.78 : 14,172.44 = 6,814.80 : x
  2. Step 2: Convert to fraction form
    9,453.78/14,172.44 = 6,814.80/x
  3. Step 3: Cross multiply
    9,453.78x = 14,172.44 × 6,814.80
  4. Step 4: Simplify right side
    9,453.78x = 96,582,310.04
  5. Step 5: Solve for x
    x = 96,582,310.04/9,453.78
  6. Step 6: Final answer
    x = 10,216.26

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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.