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Finding the Fourth Proportional to 9,568.27, 14,352.68 and 2,642.77

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Solution

The fourth proportional to 9,568.27, 14,352.68 and 2,642.77 is: 3,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.27 : 14,352.68 = 2,642.77 : x
  2. Step 2: Convert to fraction form
    9,568.27/14,352.68 = 2,642.77/x
  3. Step 3: Cross multiply
    9,568.27x = 14,352.68 × 2,642.77
  4. Step 4: Simplify right side
    9,568.27x = 37,930,832.12
  5. Step 5: Solve for x
    x = 37,930,832.12/9,568.27
  6. Step 6: Final answer
    x = 3,964.23

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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.