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Finding the Fourth Proportional to 6,201.88, 9,302.81 and 5,890.43

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Solution

The fourth proportional to 6,201.88, 9,302.81 and 5,890.43 is: 8,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.88 : 9,302.81 = 5,890.43 : x
  2. Step 2: Convert to fraction form
    6,201.88/9,302.81 = 5,890.43/x
  3. Step 3: Cross multiply
    6,201.88x = 9,302.81 × 5,890.43
  4. Step 4: Simplify right side
    6,201.88x = 54,797,551.11
  5. Step 5: Solve for x
    x = 54,797,551.11/6,201.88
  6. Step 6: Final answer
    x = 8,835.64

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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.