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Finding the Fourth Proportional to 9,142.61, 13,711.88 and 2,568.65

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Solution

The fourth proportional to 9,142.61, 13,711.88 and 2,568.65 is: 3,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.61 : 13,711.88 = 2,568.65 : x
  2. Step 2: Convert to fraction form
    9,142.61/13,711.88 = 2,568.65/x
  3. Step 3: Cross multiply
    9,142.61x = 13,711.88 × 2,568.65
  4. Step 4: Simplify right side
    9,142.61x = 35,220,958.42
  5. Step 5: Solve for x
    x = 35,220,958.42/9,142.61
  6. Step 6: Final answer
    x = 3,852.40

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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.