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Finding the Fourth Proportional to 9,257.56, 13,886.34 and 3,105.88

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Solution

The fourth proportional to 9,257.56, 13,886.34 and 3,105.88 is: 4,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.56 : 13,886.34 = 3,105.88 : x
  2. Step 2: Convert to fraction form
    9,257.56/13,886.34 = 3,105.88/x
  3. Step 3: Cross multiply
    9,257.56x = 13,886.34 × 3,105.88
  4. Step 4: Simplify right side
    9,257.56x = 43,129,305.68
  5. Step 5: Solve for x
    x = 43,129,305.68/9,257.56
  6. Step 6: Final answer
    x = 4,658.82

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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.