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Finding the Fourth Proportional to 6,123.96, 9,188.97 and 2,428.83

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Solution

The fourth proportional to 6,123.96, 9,188.97 and 2,428.83 is: 3,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.96 : 9,188.97 = 2,428.83 : x
  2. Step 2: Convert to fraction form
    6,123.96/9,188.97 = 2,428.83/x
  3. Step 3: Cross multiply
    6,123.96x = 9,188.97 × 2,428.83
  4. Step 4: Simplify right side
    6,123.96x = 22,318,446.01
  5. Step 5: Solve for x
    x = 22,318,446.01/6,123.96
  6. Step 6: Final answer
    x = 3,644.45

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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.