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Finding the Fourth Proportional to 6,569.57, 9,857.08 and 3,942.13

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Solution

The fourth proportional to 6,569.57, 9,857.08 and 3,942.13 is: 5,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.57 : 9,857.08 = 3,942.13 : x
  2. Step 2: Convert to fraction form
    6,569.57/9,857.08 = 3,942.13/x
  3. Step 3: Cross multiply
    6,569.57x = 9,857.08 × 3,942.13
  4. Step 4: Simplify right side
    6,569.57x = 38,857,871.07
  5. Step 5: Solve for x
    x = 38,857,871.07/6,569.57
  6. Step 6: Final answer
    x = 5,914.83

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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.