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Finding the Fourth Proportional to 6,422.88, 9,625.26 and 3,042.09

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Solution

The fourth proportional to 6,422.88, 9,625.26 and 3,042.09 is: 4,558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.88 : 9,625.26 = 3,042.09 : x
  2. Step 2: Convert to fraction form
    6,422.88/9,625.26 = 3,042.09/x
  3. Step 3: Cross multiply
    6,422.88x = 9,625.26 × 3,042.09
  4. Step 4: Simplify right side
    6,422.88x = 29,280,866.67
  5. Step 5: Solve for x
    x = 29,280,866.67/6,422.88
  6. Step 6: Final answer
    x = 4,558.84

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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.