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Finding the Fourth Proportional to 9,052.54, 13,574.37 and 3,785.97

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Solution

The fourth proportional to 9,052.54, 13,574.37 and 3,785.97 is: 5,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.54 : 13,574.37 = 3,785.97 : x
  2. Step 2: Convert to fraction form
    9,052.54/13,574.37 = 3,785.97/x
  3. Step 3: Cross multiply
    9,052.54x = 13,574.37 × 3,785.97
  4. Step 4: Simplify right side
    9,052.54x = 51,392,201.39
  5. Step 5: Solve for x
    x = 51,392,201.39/9,052.54
  6. Step 6: Final answer
    x = 5,677.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.