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Finding the Fourth Proportional to 6,379.44, 9,556.68 and 4,181.46

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Solution

The fourth proportional to 6,379.44, 9,556.68 and 4,181.46 is: 6,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.44 : 9,556.68 = 4,181.46 : x
  2. Step 2: Convert to fraction form
    6,379.44/9,556.68 = 4,181.46/x
  3. Step 3: Cross multiply
    6,379.44x = 9,556.68 × 4,181.46
  4. Step 4: Simplify right side
    6,379.44x = 39,960,875.15
  5. Step 5: Solve for x
    x = 39,960,875.15/6,379.44
  6. Step 6: Final answer
    x = 6,264.01

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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.