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Finding the Fourth Proportional to 6,646.82, 9,173.46 and 3,814.68

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Solution

The fourth proportional to 6,646.82, 9,173.46 and 3,814.68 is: 5,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.82 : 9,173.46 = 3,814.68 : x
  2. Step 2: Convert to fraction form
    6,646.82/9,173.46 = 3,814.68/x
  3. Step 3: Cross multiply
    6,646.82x = 9,173.46 × 3,814.68
  4. Step 4: Simplify right side
    6,646.82x = 34,993,814.39
  5. Step 5: Solve for x
    x = 34,993,814.39/6,646.82
  6. Step 6: Final answer
    x = 5,264.75

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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.