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Finding the Fourth Proportional to 6,434.37, 9,635.22 and 5,391.63

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Solution

The fourth proportional to 6,434.37, 9,635.22 and 5,391.63 is: 8,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.37 : 9,635.22 = 5,391.63 : x
  2. Step 2: Convert to fraction form
    6,434.37/9,635.22 = 5,391.63/x
  3. Step 3: Cross multiply
    6,434.37x = 9,635.22 × 5,391.63
  4. Step 4: Simplify right side
    6,434.37x = 51,949,541.21
  5. Step 5: Solve for x
    x = 51,949,541.21/6,434.37
  6. Step 6: Final answer
    x = 8,073.76

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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.