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Finding the Fourth Proportional to 6,911.47, 9,537.83 and 3,927.31

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Solution

The fourth proportional to 6,911.47, 9,537.83 and 3,927.31 is: 5,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.47 : 9,537.83 = 3,927.31 : x
  2. Step 2: Convert to fraction form
    6,911.47/9,537.83 = 3,927.31/x
  3. Step 3: Cross multiply
    6,911.47x = 9,537.83 × 3,927.31
  4. Step 4: Simplify right side
    6,911.47x = 37,458,015.14
  5. Step 5: Solve for x
    x = 37,458,015.14/6,911.47
  6. Step 6: Final answer
    x = 5,419.69

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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.