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Finding the Fourth Proportional to 9,486.25, 13,091.24 and 5,237.30

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Solution

The fourth proportional to 9,486.25, 13,091.24 and 5,237.30 is: 7,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.25 : 13,091.24 = 5,237.30 : x
  2. Step 2: Convert to fraction form
    9,486.25/13,091.24 = 5,237.30/x
  3. Step 3: Cross multiply
    9,486.25x = 13,091.24 × 5,237.30
  4. Step 4: Simplify right side
    9,486.25x = 68,562,751.25
  5. Step 5: Solve for x
    x = 68,562,751.25/9,486.25
  6. Step 6: Final answer
    x = 7,227.59

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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.