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Finding the Fourth Proportional to 9,042.57, 13,563.83 and 5,942.18

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Solution

The fourth proportional to 9,042.57, 13,563.83 and 5,942.18 is: 8,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.57 : 13,563.83 = 5,942.18 : x
  2. Step 2: Convert to fraction form
    9,042.57/13,563.83 = 5,942.18/x
  3. Step 3: Cross multiply
    9,042.57x = 13,563.83 × 5,942.18
  4. Step 4: Simplify right side
    9,042.57x = 80,598,768.11
  5. Step 5: Solve for x
    x = 80,598,768.11/9,042.57
  6. Step 6: Final answer
    x = 8,913.26

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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.