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Finding the Fourth Proportional to 6,453.91, 9,680.29 and 2,011.39

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Solution

The fourth proportional to 6,453.91, 9,680.29 and 2,011.39 is: 3,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.91 : 9,680.29 = 2,011.39 : x
  2. Step 2: Convert to fraction form
    6,453.91/9,680.29 = 2,011.39/x
  3. Step 3: Cross multiply
    6,453.91x = 9,680.29 × 2,011.39
  4. Step 4: Simplify right side
    6,453.91x = 19,470,816.82
  5. Step 5: Solve for x
    x = 19,470,816.82/6,453.91
  6. Step 6: Final answer
    x = 3,016.90

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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.