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Finding the Fourth Proportional to 6,092.63, 9,140.54 and 2,143.73

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Solution

The fourth proportional to 6,092.63, 9,140.54 and 2,143.73 is: 3,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.63 : 9,140.54 = 2,143.73 : x
  2. Step 2: Convert to fraction form
    6,092.63/9,140.54 = 2,143.73/x
  3. Step 3: Cross multiply
    6,092.63x = 9,140.54 × 2,143.73
  4. Step 4: Simplify right side
    6,092.63x = 19,594,839.73
  5. Step 5: Solve for x
    x = 19,594,839.73/6,092.63
  6. Step 6: Final answer
    x = 3,216.15

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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.