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Finding the Fourth Proportional to 6,231.44, 9,347.40 and 1,614.56

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Solution

The fourth proportional to 6,231.44, 9,347.40 and 1,614.56 is: 2,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.44 : 9,347.40 = 1,614.56 : x
  2. Step 2: Convert to fraction form
    6,231.44/9,347.40 = 1,614.56/x
  3. Step 3: Cross multiply
    6,231.44x = 9,347.40 × 1,614.56
  4. Step 4: Simplify right side
    6,231.44x = 15,091,938.14
  5. Step 5: Solve for x
    x = 15,091,938.14/6,231.44
  6. Step 6: Final answer
    x = 2,421.90

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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.