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Finding the Fourth Proportional to 6,185.88, 9,272.98 and 2,079

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Solution

The fourth proportional to 6,185.88, 9,272.98 and 2,079 is: 3,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.88 : 9,272.98 = 2,079 : x
  2. Step 2: Convert to fraction form
    6,185.88/9,272.98 = 2,079/x
  3. Step 3: Cross multiply
    6,185.88x = 9,272.98 × 2,079
  4. Step 4: Simplify right side
    6,185.88x = 19,278,525.42
  5. Step 5: Solve for x
    x = 19,278,525.42/6,185.88
  6. Step 6: Final answer
    x = 3,116.54

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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.