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Finding the Fourth Proportional to 6,123.57, 9,186.70 and 2,227.94

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Solution

The fourth proportional to 6,123.57, 9,186.70 and 2,227.94 is: 3,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.57 : 9,186.70 = 2,227.94 : x
  2. Step 2: Convert to fraction form
    6,123.57/9,186.70 = 2,227.94/x
  3. Step 3: Cross multiply
    6,123.57x = 9,186.70 × 2,227.94
  4. Step 4: Simplify right side
    6,123.57x = 20,467,416.40
  5. Step 5: Solve for x
    x = 20,467,416.40/6,123.57
  6. Step 6: Final answer
    x = 3,342.40

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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.