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Finding the Fourth Proportional to 8,569.36, 12,857.24 and 3,889.04

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Solution

The fourth proportional to 8,569.36, 12,857.24 and 3,889.04 is: 5,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.36 : 12,857.24 = 3,889.04 : x
  2. Step 2: Convert to fraction form
    8,569.36/12,857.24 = 3,889.04/x
  3. Step 3: Cross multiply
    8,569.36x = 12,857.24 × 3,889.04
  4. Step 4: Simplify right side
    8,569.36x = 50,002,320.65
  5. Step 5: Solve for x
    x = 50,002,320.65/8,569.36
  6. Step 6: Final answer
    x = 5,835.01

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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.