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Finding the Fourth Proportional to 6,112.98, 9,164.21 and 2,599.77

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Solution

The fourth proportional to 6,112.98, 9,164.21 and 2,599.77 is: 3,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.98 : 9,164.21 = 2,599.77 : x
  2. Step 2: Convert to fraction form
    6,112.98/9,164.21 = 2,599.77/x
  3. Step 3: Cross multiply
    6,112.98x = 9,164.21 × 2,599.77
  4. Step 4: Simplify right side
    6,112.98x = 23,824,825.23
  5. Step 5: Solve for x
    x = 23,824,825.23/6,112.98
  6. Step 6: Final answer
    x = 3,897.42

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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.