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Finding the Fourth Proportional to 6,556.25, 9,834.51 and 1,939.25

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Solution

The fourth proportional to 6,556.25, 9,834.51 and 1,939.25 is: 2,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.25 : 9,834.51 = 1,939.25 : x
  2. Step 2: Convert to fraction form
    6,556.25/9,834.51 = 1,939.25/x
  3. Step 3: Cross multiply
    6,556.25x = 9,834.51 × 1,939.25
  4. Step 4: Simplify right side
    6,556.25x = 19,071,573.52
  5. Step 5: Solve for x
    x = 19,071,573.52/6,556.25
  6. Step 6: Final answer
    x = 2,908.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.