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Finding the Fourth Proportional to 9,257.34, 13,886.10 and 2,331.84

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Solution

The fourth proportional to 9,257.34, 13,886.10 and 2,331.84 is: 3,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.34 : 13,886.10 = 2,331.84 : x
  2. Step 2: Convert to fraction form
    9,257.34/13,886.10 = 2,331.84/x
  3. Step 3: Cross multiply
    9,257.34x = 13,886.10 × 2,331.84
  4. Step 4: Simplify right side
    9,257.34x = 32,380,163.42
  5. Step 5: Solve for x
    x = 32,380,163.42/9,257.34
  6. Step 6: Final answer
    x = 3,497.78

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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.