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Finding the Fourth Proportional to 6,308.36, 9,462.43 and 2,148.31

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Solution

The fourth proportional to 6,308.36, 9,462.43 and 2,148.31 is: 3,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.36 : 9,462.43 = 2,148.31 : x
  2. Step 2: Convert to fraction form
    6,308.36/9,462.43 = 2,148.31/x
  3. Step 3: Cross multiply
    6,308.36x = 9,462.43 × 2,148.31
  4. Step 4: Simplify right side
    6,308.36x = 20,328,232.99
  5. Step 5: Solve for x
    x = 20,328,232.99/6,308.36
  6. Step 6: Final answer
    x = 3,222.43

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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.