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Finding the Fourth Proportional to 9,257.96, 13,892.40 and 3,418.64

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Solution

The fourth proportional to 9,257.96, 13,892.40 and 3,418.64 is: 5,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.96 : 13,892.40 = 3,418.64 : x
  2. Step 2: Convert to fraction form
    9,257.96/13,892.40 = 3,418.64/x
  3. Step 3: Cross multiply
    9,257.96x = 13,892.40 × 3,418.64
  4. Step 4: Simplify right side
    9,257.96x = 47,493,114.34
  5. Step 5: Solve for x
    x = 47,493,114.34/9,257.96
  6. Step 6: Final answer
    x = 5,129.98

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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.