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Finding the Fourth Proportional to 9,794.34, 13,520.58 and 5,816.73

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Solution

The fourth proportional to 9,794.34, 13,520.58 and 5,816.73 is: 8,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.34 : 13,520.58 = 5,816.73 : x
  2. Step 2: Convert to fraction form
    9,794.34/13,520.58 = 5,816.73/x
  3. Step 3: Cross multiply
    9,794.34x = 13,520.58 × 5,816.73
  4. Step 4: Simplify right side
    9,794.34x = 78,645,563.30
  5. Step 5: Solve for x
    x = 78,645,563.30/9,794.34
  6. Step 6: Final answer
    x = 8,029.70

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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.