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Finding the Fourth Proportional to 6,102.78, 9,137.70 and 3,174.93

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Solution

The fourth proportional to 6,102.78, 9,137.70 and 3,174.93 is: 4,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.78 : 9,137.70 = 3,174.93 : x
  2. Step 2: Convert to fraction form
    6,102.78/9,137.70 = 3,174.93/x
  3. Step 3: Cross multiply
    6,102.78x = 9,137.70 × 3,174.93
  4. Step 4: Simplify right side
    6,102.78x = 29,011,557.86
  5. Step 5: Solve for x
    x = 29,011,557.86/6,102.78
  6. Step 6: Final answer
    x = 4,753.83

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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.