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Finding the Fourth Proportional to 9,097.44, 13,644.72 and 2,940

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Solution

The fourth proportional to 9,097.44, 13,644.72 and 2,940 is: 4,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.44 : 13,644.72 = 2,940 : x
  2. Step 2: Convert to fraction form
    9,097.44/13,644.72 = 2,940/x
  3. Step 3: Cross multiply
    9,097.44x = 13,644.72 × 2,940
  4. Step 4: Simplify right side
    9,097.44x = 40,115,476.80
  5. Step 5: Solve for x
    x = 40,115,476.80/9,097.44
  6. Step 6: Final answer
    x = 4,409.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.