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Finding the Fourth Proportional to 6,911.22, 9,538.97 and 4,077.54

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Solution

The fourth proportional to 6,911.22, 9,538.97 and 4,077.54 is: 5,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.22 : 9,538.97 = 4,077.54 : x
  2. Step 2: Convert to fraction form
    6,911.22/9,538.97 = 4,077.54/x
  3. Step 3: Cross multiply
    6,911.22x = 9,538.97 × 4,077.54
  4. Step 4: Simplify right side
    6,911.22x = 38,895,511.35
  5. Step 5: Solve for x
    x = 38,895,511.35/6,911.22
  6. Step 6: Final answer
    x = 5,627.88

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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.