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Finding the Fourth Proportional to 6,749.99, 9,314.97 and 3,765.65

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Solution

The fourth proportional to 6,749.99, 9,314.97 and 3,765.65 is: 5,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.99 : 9,314.97 = 3,765.65 : x
  2. Step 2: Convert to fraction form
    6,749.99/9,314.97 = 3,765.65/x
  3. Step 3: Cross multiply
    6,749.99x = 9,314.97 × 3,765.65
  4. Step 4: Simplify right side
    6,749.99x = 35,076,914.06
  5. Step 5: Solve for x
    x = 35,076,914.06/6,749.99
  6. Step 6: Final answer
    x = 5,196.59

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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.