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Finding the Fourth Proportional to 6,794.40, 9,372.78 and 4,556.28

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Solution

The fourth proportional to 6,794.40, 9,372.78 and 4,556.28 is: 6,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.40 : 9,372.78 = 4,556.28 : x
  2. Step 2: Convert to fraction form
    6,794.40/9,372.78 = 4,556.28/x
  3. Step 3: Cross multiply
    6,794.40x = 9,372.78 × 4,556.28
  4. Step 4: Simplify right side
    6,794.40x = 42,705,010.06
  5. Step 5: Solve for x
    x = 42,705,010.06/6,794.40
  6. Step 6: Final answer
    x = 6,285.32

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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.