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Finding the Fourth Proportional to 6,156.44, 9,238.71 and 2,260.88

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Solution

The fourth proportional to 6,156.44, 9,238.71 and 2,260.88 is: 3,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.44 : 9,238.71 = 2,260.88 : x
  2. Step 2: Convert to fraction form
    6,156.44/9,238.71 = 2,260.88/x
  3. Step 3: Cross multiply
    6,156.44x = 9,238.71 × 2,260.88
  4. Step 4: Simplify right side
    6,156.44x = 20,887,614.66
  5. Step 5: Solve for x
    x = 20,887,614.66/6,156.44
  6. Step 6: Final answer
    x = 3,392.81

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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.