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Finding the Fourth Proportional to 9,250, 12,771.16 and 5,474.37

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Solution

The fourth proportional to 9,250, 12,771.16 and 5,474.37 is: 7,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250 : 12,771.16 = 5,474.37 : x
  2. Step 2: Convert to fraction form
    9,250/12,771.16 = 5,474.37/x
  3. Step 3: Cross multiply
    9,250x = 12,771.16 × 5,474.37
  4. Step 4: Simplify right side
    9,250x = 69,914,055.17
  5. Step 5: Solve for x
    x = 69,914,055.17/9,250
  6. Step 6: Final answer
    x = 7,558.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.