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Finding the Fourth Proportional to 6,737.14, 10,092.30 and 4,101.40

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Solution

The fourth proportional to 6,737.14, 10,092.30 and 4,101.40 is: 6,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.14 : 10,092.30 = 4,101.40 : x
  2. Step 2: Convert to fraction form
    6,737.14/10,092.30 = 4,101.40/x
  3. Step 3: Cross multiply
    6,737.14x = 10,092.30 × 4,101.40
  4. Step 4: Simplify right side
    6,737.14x = 41,392,559.22
  5. Step 5: Solve for x
    x = 41,392,559.22/6,737.14
  6. Step 6: Final answer
    x = 6,143.94

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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.