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Finding the Fourth Proportional to 9,446.94, 13,037.14 and 5,255.46

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Solution

The fourth proportional to 9,446.94, 13,037.14 and 5,255.46 is: 7,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.94 : 13,037.14 = 5,255.46 : x
  2. Step 2: Convert to fraction form
    9,446.94/13,037.14 = 5,255.46/x
  3. Step 3: Cross multiply
    9,446.94x = 13,037.14 × 5,255.46
  4. Step 4: Simplify right side
    9,446.94x = 68,516,167.78
  5. Step 5: Solve for x
    x = 68,516,167.78/9,446.94
  6. Step 6: Final answer
    x = 7,252.74

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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.