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Finding the Fourth Proportional to 6,638.88, 9,162.36 and 4,122.60

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Solution

The fourth proportional to 6,638.88, 9,162.36 and 4,122.60 is: 5,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.88 : 9,162.36 = 4,122.60 : x
  2. Step 2: Convert to fraction form
    6,638.88/9,162.36 = 4,122.60/x
  3. Step 3: Cross multiply
    6,638.88x = 9,162.36 × 4,122.60
  4. Step 4: Simplify right side
    6,638.88x = 37,772,745.34
  5. Step 5: Solve for x
    x = 37,772,745.34/6,638.88
  6. Step 6: Final answer
    x = 5,689.63

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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.