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Finding the Fourth Proportional to 6,288.37, 9,434.17 and 4,443.10

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Solution

The fourth proportional to 6,288.37, 9,434.17 and 4,443.10 is: 6,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.37 : 9,434.17 = 4,443.10 : x
  2. Step 2: Convert to fraction form
    6,288.37/9,434.17 = 4,443.10/x
  3. Step 3: Cross multiply
    6,288.37x = 9,434.17 × 4,443.10
  4. Step 4: Simplify right side
    6,288.37x = 41,916,960.73
  5. Step 5: Solve for x
    x = 41,916,960.73/6,288.37
  6. Step 6: Final answer
    x = 6,665.79

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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.