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Finding the Fourth Proportional to 6,649.44, 9,974.16 and 3,876.10

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Solution

The fourth proportional to 6,649.44, 9,974.16 and 3,876.10 is: 5,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.44 : 9,974.16 = 3,876.10 : x
  2. Step 2: Convert to fraction form
    6,649.44/9,974.16 = 3,876.10/x
  3. Step 3: Cross multiply
    6,649.44x = 9,974.16 × 3,876.10
  4. Step 4: Simplify right side
    6,649.44x = 38,660,841.58
  5. Step 5: Solve for x
    x = 38,660,841.58/6,649.44
  6. Step 6: Final answer
    x = 5,814.15

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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.