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Finding the Fourth Proportional to 9,078.32, 13,614.60 and 3,231.60

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Solution

The fourth proportional to 9,078.32, 13,614.60 and 3,231.60 is: 4,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.32 : 13,614.60 = 3,231.60 : x
  2. Step 2: Convert to fraction form
    9,078.32/13,614.60 = 3,231.60/x
  3. Step 3: Cross multiply
    9,078.32x = 13,614.60 × 3,231.60
  4. Step 4: Simplify right side
    9,078.32x = 43,996,941.36
  5. Step 5: Solve for x
    x = 43,996,941.36/9,078.32
  6. Step 6: Final answer
    x = 4,846.37

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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.