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Finding the Fourth Proportional to 6,171.13, 9,256.49 and 2,472.37

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Solution

The fourth proportional to 6,171.13, 9,256.49 and 2,472.37 is: 3,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.13 : 9,256.49 = 2,472.37 : x
  2. Step 2: Convert to fraction form
    6,171.13/9,256.49 = 2,472.37/x
  3. Step 3: Cross multiply
    6,171.13x = 9,256.49 × 2,472.37
  4. Step 4: Simplify right side
    6,171.13x = 22,885,441.95
  5. Step 5: Solve for x
    x = 22,885,441.95/6,171.13
  6. Step 6: Final answer
    x = 3,708.47

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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.