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Finding the Fourth Proportional to 6,171.94, 9,259.26 and 2,012.32

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Solution

The fourth proportional to 6,171.94, 9,259.26 and 2,012.32 is: 3,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.94 : 9,259.26 = 2,012.32 : x
  2. Step 2: Convert to fraction form
    6,171.94/9,259.26 = 2,012.32/x
  3. Step 3: Cross multiply
    6,171.94x = 9,259.26 × 2,012.32
  4. Step 4: Simplify right side
    6,171.94x = 18,632,594.08
  5. Step 5: Solve for x
    x = 18,632,594.08/6,171.94
  6. Step 6: Final answer
    x = 3,018.92

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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.