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Finding the Fourth Proportional to 6,738.32, 9,296.30 and 4,219.36

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Solution

The fourth proportional to 6,738.32, 9,296.30 and 4,219.36 is: 5,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.32 : 9,296.30 = 4,219.36 : x
  2. Step 2: Convert to fraction form
    6,738.32/9,296.30 = 4,219.36/x
  3. Step 3: Cross multiply
    6,738.32x = 9,296.30 × 4,219.36
  4. Step 4: Simplify right side
    6,738.32x = 39,224,423.68
  5. Step 5: Solve for x
    x = 39,224,423.68/6,738.32
  6. Step 6: Final answer
    x = 5,821.10

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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.