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Finding the Fourth Proportional to 6,313.68, 9,472.32 and 2,418.39

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Solution

The fourth proportional to 6,313.68, 9,472.32 and 2,418.39 is: 3,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.68 : 9,472.32 = 2,418.39 : x
  2. Step 2: Convert to fraction form
    6,313.68/9,472.32 = 2,418.39/x
  3. Step 3: Cross multiply
    6,313.68x = 9,472.32 × 2,418.39
  4. Step 4: Simplify right side
    6,313.68x = 22,907,763.96
  5. Step 5: Solve for x
    x = 22,907,763.96/6,313.68
  6. Step 6: Final answer
    x = 3,628.27

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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.