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Finding the Fourth Proportional to 9,834.16, 13,572.24 and 5,855.28

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Solution

The fourth proportional to 9,834.16, 13,572.24 and 5,855.28 is: 8,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.16 : 13,572.24 = 5,855.28 : x
  2. Step 2: Convert to fraction form
    9,834.16/13,572.24 = 5,855.28/x
  3. Step 3: Cross multiply
    9,834.16x = 13,572.24 × 5,855.28
  4. Step 4: Simplify right side
    9,834.16x = 79,469,265.43
  5. Step 5: Solve for x
    x = 79,469,265.43/9,834.16
  6. Step 6: Final answer
    x = 8,080.94

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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.