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Finding the Fourth Proportional to 6,911.04, 9,537.42 and 3,927

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Solution

The fourth proportional to 6,911.04, 9,537.42 and 3,927 is: 5,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.04 : 9,537.42 = 3,927 : x
  2. Step 2: Convert to fraction form
    6,911.04/9,537.42 = 3,927/x
  3. Step 3: Cross multiply
    6,911.04x = 9,537.42 × 3,927
  4. Step 4: Simplify right side
    6,911.04x = 37,453,448.34
  5. Step 5: Solve for x
    x = 37,453,448.34/6,911.04
  6. Step 6: Final answer
    x = 5,419.37

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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.