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Finding the Fourth Proportional to 9,245.25, 13,857.94 and 3,316.43

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Solution

The fourth proportional to 9,245.25, 13,857.94 and 3,316.43 is: 4,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.25 : 13,857.94 = 3,316.43 : x
  2. Step 2: Convert to fraction form
    9,245.25/13,857.94 = 3,316.43/x
  3. Step 3: Cross multiply
    9,245.25x = 13,857.94 × 3,316.43
  4. Step 4: Simplify right side
    9,245.25x = 45,958,887.95
  5. Step 5: Solve for x
    x = 45,958,887.95/9,245.25
  6. Step 6: Final answer
    x = 4,971.08

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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.