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Finding the Fourth Proportional to 7,239, 9,989.82 and 3,927

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Solution

The fourth proportional to 7,239, 9,989.82 and 3,927 is: 5,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239 : 9,989.82 = 3,927 : x
  2. Step 2: Convert to fraction form
    7,239/9,989.82 = 3,927/x
  3. Step 3: Cross multiply
    7,239x = 9,989.82 × 3,927
  4. Step 4: Simplify right side
    7,239x = 39,230,023.14
  5. Step 5: Solve for x
    x = 39,230,023.14/7,239
  6. Step 6: Final answer
    x = 5,419.26

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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.