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Finding the Fourth Proportional to 9,571.39, 14,342.43 and 6,439.80

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Solution

The fourth proportional to 9,571.39, 14,342.43 and 6,439.80 is: 9,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.39 : 14,342.43 = 6,439.80 : x
  2. Step 2: Convert to fraction form
    9,571.39/14,342.43 = 6,439.80/x
  3. Step 3: Cross multiply
    9,571.39x = 14,342.43 × 6,439.80
  4. Step 4: Simplify right side
    9,571.39x = 92,362,369.01
  5. Step 5: Solve for x
    x = 92,362,369.01/9,571.39
  6. Step 6: Final answer
    x = 9,649.84

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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.