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Finding the Fourth Proportional to 6,544.98, 9,814.56 and 2,383.62

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Solution

The fourth proportional to 6,544.98, 9,814.56 and 2,383.62 is: 3,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.98 : 9,814.56 = 2,383.62 : x
  2. Step 2: Convert to fraction form
    6,544.98/9,814.56 = 2,383.62/x
  3. Step 3: Cross multiply
    6,544.98x = 9,814.56 × 2,383.62
  4. Step 4: Simplify right side
    6,544.98x = 23,394,181.51
  5. Step 5: Solve for x
    x = 23,394,181.51/6,544.98
  6. Step 6: Final answer
    x = 3,574.37

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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.