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Finding the Fourth Proportional to 6,439.34, 9,633.36 and 5,393.23

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Solution

The fourth proportional to 6,439.34, 9,633.36 and 5,393.23 is: 8,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.34 : 9,633.36 = 5,393.23 : x
  2. Step 2: Convert to fraction form
    6,439.34/9,633.36 = 5,393.23/x
  3. Step 3: Cross multiply
    6,439.34x = 9,633.36 × 5,393.23
  4. Step 4: Simplify right side
    6,439.34x = 51,954,926.15
  5. Step 5: Solve for x
    x = 51,954,926.15/6,439.34
  6. Step 6: Final answer
    x = 8,068.36

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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.