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Finding the Fourth Proportional to 6,936.60, 9,568.47 and 4,414.26

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Solution

The fourth proportional to 6,936.60, 9,568.47 and 4,414.26 is: 6,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.60 : 9,568.47 = 4,414.26 : x
  2. Step 2: Convert to fraction form
    6,936.60/9,568.47 = 4,414.26/x
  3. Step 3: Cross multiply
    6,936.60x = 9,568.47 × 4,414.26
  4. Step 4: Simplify right side
    6,936.60x = 42,237,714.38
  5. Step 5: Solve for x
    x = 42,237,714.38/6,936.60
  6. Step 6: Final answer
    x = 6,089.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.