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Finding the Fourth Proportional to 6,137.98, 9,210.06 and 2,447.44

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Solution

The fourth proportional to 6,137.98, 9,210.06 and 2,447.44 is: 3,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.98 : 9,210.06 = 2,447.44 : x
  2. Step 2: Convert to fraction form
    6,137.98/9,210.06 = 2,447.44/x
  3. Step 3: Cross multiply
    6,137.98x = 9,210.06 × 2,447.44
  4. Step 4: Simplify right side
    6,137.98x = 22,541,069.25
  5. Step 5: Solve for x
    x = 22,541,069.25/6,137.98
  6. Step 6: Final answer
    x = 3,672.39

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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.