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Finding the Fourth Proportional to 9,142.80, 13,714.71 and 2,568.47

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Solution

The fourth proportional to 9,142.80, 13,714.71 and 2,568.47 is: 3,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.80 : 13,714.71 = 2,568.47 : x
  2. Step 2: Convert to fraction form
    9,142.80/13,714.71 = 2,568.47/x
  3. Step 3: Cross multiply
    9,142.80x = 13,714.71 × 2,568.47
  4. Step 4: Simplify right side
    9,142.80x = 35,225,855.48
  5. Step 5: Solve for x
    x = 35,225,855.48/9,142.80
  6. Step 6: Final answer
    x = 3,852.85

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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.