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Finding the Fourth Proportional to 9,249.72, 12,768.83 and 5,897.13

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Solution

The fourth proportional to 9,249.72, 12,768.83 and 5,897.13 is: 8,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.72 : 12,768.83 = 5,897.13 : x
  2. Step 2: Convert to fraction form
    9,249.72/12,768.83 = 5,897.13/x
  3. Step 3: Cross multiply
    9,249.72x = 12,768.83 × 5,897.13
  4. Step 4: Simplify right side
    9,249.72x = 75,299,450.46
  5. Step 5: Solve for x
    x = 75,299,450.46/9,249.72
  6. Step 6: Final answer
    x = 8,140.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.