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Finding the Fourth Proportional to 9,608.63, 14,411.96 and 2,588.36

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Solution

The fourth proportional to 9,608.63, 14,411.96 and 2,588.36 is: 3,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.63 : 14,411.96 = 2,588.36 : x
  2. Step 2: Convert to fraction form
    9,608.63/14,411.96 = 2,588.36/x
  3. Step 3: Cross multiply
    9,608.63x = 14,411.96 × 2,588.36
  4. Step 4: Simplify right side
    9,608.63x = 37,303,255.78
  5. Step 5: Solve for x
    x = 37,303,255.78/9,608.63
  6. Step 6: Final answer
    x = 3,882.27

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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.