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Finding the Fourth Proportional to 6,663.50, 9,196.44 and 3,869

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Solution

The fourth proportional to 6,663.50, 9,196.44 and 3,869 is: 5,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.50 : 9,196.44 = 3,869 : x
  2. Step 2: Convert to fraction form
    6,663.50/9,196.44 = 3,869/x
  3. Step 3: Cross multiply
    6,663.50x = 9,196.44 × 3,869
  4. Step 4: Simplify right side
    6,663.50x = 35,581,026.36
  5. Step 5: Solve for x
    x = 35,581,026.36/6,663.50
  6. Step 6: Final answer
    x = 5,339.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.