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Finding the Fourth Proportional to 6,083.14, 9,124.71 and 2,185.42

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Solution

The fourth proportional to 6,083.14, 9,124.71 and 2,185.42 is: 3,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.14 : 9,124.71 = 2,185.42 : x
  2. Step 2: Convert to fraction form
    6,083.14/9,124.71 = 2,185.42/x
  3. Step 3: Cross multiply
    6,083.14x = 9,124.71 × 2,185.42
  4. Step 4: Simplify right side
    6,083.14x = 19,941,323.73
  5. Step 5: Solve for x
    x = 19,941,323.73/6,083.14
  6. Step 6: Final answer
    x = 3,278.13

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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.