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Finding the Fourth Proportional to 6,171.70, 9,256.21 and 1,955.29

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Solution

The fourth proportional to 6,171.70, 9,256.21 and 1,955.29 is: 2,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.70 : 9,256.21 = 1,955.29 : x
  2. Step 2: Convert to fraction form
    6,171.70/9,256.21 = 1,955.29/x
  3. Step 3: Cross multiply
    6,171.70x = 9,256.21 × 1,955.29
  4. Step 4: Simplify right side
    6,171.70x = 18,098,574.85
  5. Step 5: Solve for x
    x = 18,098,574.85/6,171.70
  6. Step 6: Final answer
    x = 2,932.51

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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.