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Finding the Fourth Proportional to 6,454.36, 9,683.09 and 2,011.92

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Solution

The fourth proportional to 6,454.36, 9,683.09 and 2,011.92 is: 3,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.36 : 9,683.09 = 2,011.92 : x
  2. Step 2: Convert to fraction form
    6,454.36/9,683.09 = 2,011.92/x
  3. Step 3: Cross multiply
    6,454.36x = 9,683.09 × 2,011.92
  4. Step 4: Simplify right side
    6,454.36x = 19,481,602.43
  5. Step 5: Solve for x
    x = 19,481,602.43/6,454.36
  6. Step 6: Final answer
    x = 3,018.36

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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.