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Finding the Fourth Proportional to 6,272.49, 9,406.11 and 2,111.49

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Solution

The fourth proportional to 6,272.49, 9,406.11 and 2,111.49 is: 3,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.49 : 9,406.11 = 2,111.49 : x
  2. Step 2: Convert to fraction form
    6,272.49/9,406.11 = 2,111.49/x
  3. Step 3: Cross multiply
    6,272.49x = 9,406.11 × 2,111.49
  4. Step 4: Simplify right side
    6,272.49x = 19,860,907.20
  5. Step 5: Solve for x
    x = 19,860,907.20/6,272.49
  6. Step 6: Final answer
    x = 3,166.35

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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.