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Finding the Fourth Proportional to 6,112.30, 9,168.26 and 1,952.55

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Solution

The fourth proportional to 6,112.30, 9,168.26 and 1,952.55 is: 2,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.30 : 9,168.26 = 1,952.55 : x
  2. Step 2: Convert to fraction form
    6,112.30/9,168.26 = 1,952.55/x
  3. Step 3: Cross multiply
    6,112.30x = 9,168.26 × 1,952.55
  4. Step 4: Simplify right side
    6,112.30x = 17,901,490.94
  5. Step 5: Solve for x
    x = 17,901,490.94/6,112.30
  6. Step 6: Final answer
    x = 2,928.77

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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.