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Finding the Fourth Proportional to 9,286.37, 12,815.24 and 5,037.48

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Solution

The fourth proportional to 9,286.37, 12,815.24 and 5,037.48 is: 6,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.37 : 12,815.24 = 5,037.48 : x
  2. Step 2: Convert to fraction form
    9,286.37/12,815.24 = 5,037.48/x
  3. Step 3: Cross multiply
    9,286.37x = 12,815.24 × 5,037.48
  4. Step 4: Simplify right side
    9,286.37x = 64,556,490.01
  5. Step 5: Solve for x
    x = 64,556,490.01/9,286.37
  6. Step 6: Final answer
    x = 6,951.74

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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.