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Finding the Fourth Proportional to 6,578.33, 9,866.44 and 2,417.32

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Solution

The fourth proportional to 6,578.33, 9,866.44 and 2,417.32 is: 3,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.33 : 9,866.44 = 2,417.32 : x
  2. Step 2: Convert to fraction form
    6,578.33/9,866.44 = 2,417.32/x
  3. Step 3: Cross multiply
    6,578.33x = 9,866.44 × 2,417.32
  4. Step 4: Simplify right side
    6,578.33x = 23,850,281.32
  5. Step 5: Solve for x
    x = 23,850,281.32/6,578.33
  6. Step 6: Final answer
    x = 3,625.58

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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.