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Finding the Fourth Proportional to 6,911.45, 9,537.82 and 3,928.28

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Solution

The fourth proportional to 6,911.45, 9,537.82 and 3,928.28 is: 5,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.45 : 9,537.82 = 3,928.28 : x
  2. Step 2: Convert to fraction form
    6,911.45/9,537.82 = 3,928.28/x
  3. Step 3: Cross multiply
    6,911.45x = 9,537.82 × 3,928.28
  4. Step 4: Simplify right side
    6,911.45x = 37,467,170.04
  5. Step 5: Solve for x
    x = 37,467,170.04/6,911.45
  6. Step 6: Final answer
    x = 5,421.03

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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.