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Finding the Fourth Proportional to 6,749.60, 9,314.60 and 3,917.43

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Solution

The fourth proportional to 6,749.60, 9,314.60 and 3,917.43 is: 5,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.60 : 9,314.60 = 3,917.43 : x
  2. Step 2: Convert to fraction form
    6,749.60/9,314.60 = 3,917.43/x
  3. Step 3: Cross multiply
    6,749.60x = 9,314.60 × 3,917.43
  4. Step 4: Simplify right side
    6,749.60x = 36,489,273.89
  5. Step 5: Solve for x
    x = 36,489,273.89/6,749.60
  6. Step 6: Final answer
    x = 5,406.14

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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.