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Finding the Fourth Proportional to 6,911.89, 9,538.31 and 4,079.25

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Solution

The fourth proportional to 6,911.89, 9,538.31 and 4,079.25 is: 5,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.89 : 9,538.31 = 4,079.25 : x
  2. Step 2: Convert to fraction form
    6,911.89/9,538.31 = 4,079.25/x
  3. Step 3: Cross multiply
    6,911.89x = 9,538.31 × 4,079.25
  4. Step 4: Simplify right side
    6,911.89x = 38,909,161.27
  5. Step 5: Solve for x
    x = 38,909,161.27/6,911.89
  6. Step 6: Final answer
    x = 5,629.31

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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.