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Finding the Fourth Proportional to 7,095.25, 9,791.45 and 3,951.37

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Solution

The fourth proportional to 7,095.25, 9,791.45 and 3,951.37 is: 5,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.25 : 9,791.45 = 3,951.37 : x
  2. Step 2: Convert to fraction form
    7,095.25/9,791.45 = 3,951.37/x
  3. Step 3: Cross multiply
    7,095.25x = 9,791.45 × 3,951.37
  4. Step 4: Simplify right side
    7,095.25x = 38,689,641.79
  5. Step 5: Solve for x
    x = 38,689,641.79/7,095.25
  6. Step 6: Final answer
    x = 5,452.89

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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.