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Finding the Fourth Proportional to 6,434.28, 9,653.22 and 4,247.28

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Solution

The fourth proportional to 6,434.28, 9,653.22 and 4,247.28 is: 6,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.28 : 9,653.22 = 4,247.28 : x
  2. Step 2: Convert to fraction form
    6,434.28/9,653.22 = 4,247.28/x
  3. Step 3: Cross multiply
    6,434.28x = 9,653.22 × 4,247.28
  4. Step 4: Simplify right side
    6,434.28x = 40,999,928.24
  5. Step 5: Solve for x
    x = 40,999,928.24/6,434.28
  6. Step 6: Final answer
    x = 6,372.11

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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.