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Finding the Fourth Proportional to 9,446.36, 13,037.10 and 5,414.63

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Solution

The fourth proportional to 9,446.36, 13,037.10 and 5,414.63 is: 7,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.36 : 13,037.10 = 5,414.63 : x
  2. Step 2: Convert to fraction form
    9,446.36/13,037.10 = 5,414.63/x
  3. Step 3: Cross multiply
    9,446.36x = 13,037.10 × 5,414.63
  4. Step 4: Simplify right side
    9,446.36x = 70,591,072.77
  5. Step 5: Solve for x
    x = 70,591,072.77/9,446.36
  6. Step 6: Final answer
    x = 7,472.83

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