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Finding the Fourth Proportional to 6,911.82, 9,538.64 and 3,887.89

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Solution

The fourth proportional to 6,911.82, 9,538.64 and 3,887.89 is: 5,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.82 : 9,538.64 = 3,887.89 : x
  2. Step 2: Convert to fraction form
    6,911.82/9,538.64 = 3,887.89/x
  3. Step 3: Cross multiply
    6,911.82x = 9,538.64 × 3,887.89
  4. Step 4: Simplify right side
    6,911.82x = 37,085,135.38
  5. Step 5: Solve for x
    x = 37,085,135.38/6,911.82
  6. Step 6: Final answer
    x = 5,365.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.