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Finding the Fourth Proportional to 6,209.38, 9,314.09 and 5,897.93

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Solution

The fourth proportional to 6,209.38, 9,314.09 and 5,897.93 is: 8,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.38 : 9,314.09 = 5,897.93 : x
  2. Step 2: Convert to fraction form
    6,209.38/9,314.09 = 5,897.93/x
  3. Step 3: Cross multiply
    6,209.38x = 9,314.09 × 5,897.93
  4. Step 4: Simplify right side
    6,209.38x = 54,933,850.83
  5. Step 5: Solve for x
    x = 54,933,850.83/6,209.38
  6. Step 6: Final answer
    x = 8,846.91

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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.