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Finding the Fourth Proportional to 6,196.44, 9,293.40 and 1,814.16

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Solution

The fourth proportional to 6,196.44, 9,293.40 and 1,814.16 is: 2,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.44 : 9,293.40 = 1,814.16 : x
  2. Step 2: Convert to fraction form
    6,196.44/9,293.40 = 1,814.16/x
  3. Step 3: Cross multiply
    6,196.44x = 9,293.40 × 1,814.16
  4. Step 4: Simplify right side
    6,196.44x = 16,859,714.54
  5. Step 5: Solve for x
    x = 16,859,714.54/6,196.44
  6. Step 6: Final answer
    x = 2,720.87

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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.