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Finding the Fourth Proportional to 6,578.21, 9,866.24 and 2,417.19

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Solution

The fourth proportional to 6,578.21, 9,866.24 and 2,417.19 is: 3,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.21 : 9,866.24 = 2,417.19 : x
  2. Step 2: Convert to fraction form
    6,578.21/9,866.24 = 2,417.19/x
  3. Step 3: Cross multiply
    6,578.21x = 9,866.24 × 2,417.19
  4. Step 4: Simplify right side
    6,578.21x = 23,848,576.67
  5. Step 5: Solve for x
    x = 23,848,576.67/6,578.21
  6. Step 6: Final answer
    x = 3,625.39

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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.