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Finding the Fourth Proportional to 6,254.46, 9,382.32 and 2,922

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Solution

The fourth proportional to 6,254.46, 9,382.32 and 2,922 is: 4,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.46 : 9,382.32 = 2,922 : x
  2. Step 2: Convert to fraction form
    6,254.46/9,382.32 = 2,922/x
  3. Step 3: Cross multiply
    6,254.46x = 9,382.32 × 2,922
  4. Step 4: Simplify right side
    6,254.46x = 27,415,139.04
  5. Step 5: Solve for x
    x = 27,415,139.04/6,254.46
  6. Step 6: Final answer
    x = 4,383.29

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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.