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Finding the Fourth Proportional to 9,588.90, 14,383.96 and 2,568.80

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Solution

The fourth proportional to 9,588.90, 14,383.96 and 2,568.80 is: 3,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.90 : 14,383.96 = 2,568.80 : x
  2. Step 2: Convert to fraction form
    9,588.90/14,383.96 = 2,568.80/x
  3. Step 3: Cross multiply
    9,588.90x = 14,383.96 × 2,568.80
  4. Step 4: Simplify right side
    9,588.90x = 36,949,516.45
  5. Step 5: Solve for x
    x = 36,949,516.45/9,588.90
  6. Step 6: Final answer
    x = 3,853.36

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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.