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Finding the Fourth Proportional to 6,092.58, 9,143.82 and 3,171.72

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Solution

The fourth proportional to 6,092.58, 9,143.82 and 3,171.72 is: 4,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.58 : 9,143.82 = 3,171.72 : x
  2. Step 2: Convert to fraction form
    6,092.58/9,143.82 = 3,171.72/x
  3. Step 3: Cross multiply
    6,092.58x = 9,143.82 × 3,171.72
  4. Step 4: Simplify right side
    6,092.58x = 29,001,636.77
  5. Step 5: Solve for x
    x = 29,001,636.77/6,092.58
  6. Step 6: Final answer
    x = 4,760.16

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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.