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Finding the Fourth Proportional to 8,936.40, 13,411.08 and 3,097.92

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Solution

The fourth proportional to 8,936.40, 13,411.08 and 3,097.92 is: 4,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,936.40 : 13,411.08 = 3,097.92 : x
  2. Step 2: Convert to fraction form
    8,936.40/13,411.08 = 3,097.92/x
  3. Step 3: Cross multiply
    8,936.40x = 13,411.08 × 3,097.92
  4. Step 4: Simplify right side
    8,936.40x = 41,546,452.95
  5. Step 5: Solve for x
    x = 41,546,452.95/8,936.40
  6. Step 6: Final answer
    x = 4,649.13

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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.