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Finding the Fourth Proportional to 9,269.91, 12,786.05 and 5,731.02

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Solution

The fourth proportional to 9,269.91, 12,786.05 and 5,731.02 is: 7,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.91 : 12,786.05 = 5,731.02 : x
  2. Step 2: Convert to fraction form
    9,269.91/12,786.05 = 5,731.02/x
  3. Step 3: Cross multiply
    9,269.91x = 12,786.05 × 5,731.02
  4. Step 4: Simplify right side
    9,269.91x = 73,277,122.60
  5. Step 5: Solve for x
    x = 73,277,122.60/9,269.91
  6. Step 6: Final answer
    x = 7,904.84

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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.