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Finding the Fourth Proportional to 6,256.56, 9,381.36 and 2,561.37

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Solution

The fourth proportional to 6,256.56, 9,381.36 and 2,561.37 is: 3,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.56 : 9,381.36 = 2,561.37 : x
  2. Step 2: Convert to fraction form
    6,256.56/9,381.36 = 2,561.37/x
  3. Step 3: Cross multiply
    6,256.56x = 9,381.36 × 2,561.37
  4. Step 4: Simplify right side
    6,256.56x = 24,029,134.06
  5. Step 5: Solve for x
    x = 24,029,134.06/6,256.56
  6. Step 6: Final answer
    x = 3,840.63

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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.