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Finding the Fourth Proportional to 9,253.44, 13,887.44 and 3,414.14

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Solution

The fourth proportional to 9,253.44, 13,887.44 and 3,414.14 is: 5,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.44 : 13,887.44 = 3,414.14 : x
  2. Step 2: Convert to fraction form
    9,253.44/13,887.44 = 3,414.14/x
  3. Step 3: Cross multiply
    9,253.44x = 13,887.44 × 3,414.14
  4. Step 4: Simplify right side
    9,253.44x = 47,413,664.40
  5. Step 5: Solve for x
    x = 47,413,664.40/9,253.44
  6. Step 6: Final answer
    x = 5,123.90

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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.