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Finding the Fourth Proportional to 9,152.80, 13,729.17 and 2,996.80

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Solution

The fourth proportional to 9,152.80, 13,729.17 and 2,996.80 is: 4,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.80 : 13,729.17 = 2,996.80 : x
  2. Step 2: Convert to fraction form
    9,152.80/13,729.17 = 2,996.80/x
  3. Step 3: Cross multiply
    9,152.80x = 13,729.17 × 2,996.80
  4. Step 4: Simplify right side
    9,152.80x = 41,143,576.66
  5. Step 5: Solve for x
    x = 41,143,576.66/9,152.80
  6. Step 6: Final answer
    x = 4,495.19

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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.