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Finding the Fourth Proportional to 9,142.65, 13,714.83 and 2,568.80

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Solution

The fourth proportional to 9,142.65, 13,714.83 and 2,568.80 is: 3,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.65 : 13,714.83 = 2,568.80 : x
  2. Step 2: Convert to fraction form
    9,142.65/13,714.83 = 2,568.80/x
  3. Step 3: Cross multiply
    9,142.65x = 13,714.83 × 2,568.80
  4. Step 4: Simplify right side
    9,142.65x = 35,230,689.59
  5. Step 5: Solve for x
    x = 35,230,689.59/9,142.65
  6. Step 6: Final answer
    x = 3,853.44

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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.