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Finding the Fourth Proportional to 6,234.06, 9,346.40 and 3,768.36

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Solution

The fourth proportional to 6,234.06, 9,346.40 and 3,768.36 is: 5,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.06 : 9,346.40 = 3,768.36 : x
  2. Step 2: Convert to fraction form
    6,234.06/9,346.40 = 3,768.36/x
  3. Step 3: Cross multiply
    6,234.06x = 9,346.40 × 3,768.36
  4. Step 4: Simplify right side
    6,234.06x = 35,220,599.90
  5. Step 5: Solve for x
    x = 35,220,599.90/6,234.06
  6. Step 6: Final answer
    x = 5,649.70

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Why These Related Problems?

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