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Finding the Fourth Proportional to 8,592.14, 12,889.60 and 4,209.94

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Solution

The fourth proportional to 8,592.14, 12,889.60 and 4,209.94 is: 6,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.14 : 12,889.60 = 4,209.94 : x
  2. Step 2: Convert to fraction form
    8,592.14/12,889.60 = 4,209.94/x
  3. Step 3: Cross multiply
    8,592.14x = 12,889.60 × 4,209.94
  4. Step 4: Simplify right side
    8,592.14x = 54,264,448.21
  5. Step 5: Solve for x
    x = 54,264,448.21/8,592.14
  6. Step 6: Final answer
    x = 6,315.59

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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.