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Finding the Fourth Proportional to 9,889.81, 13,647.41 and 5,412.70

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Solution

The fourth proportional to 9,889.81, 13,647.41 and 5,412.70 is: 7,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.81 : 13,647.41 = 5,412.70 : x
  2. Step 2: Convert to fraction form
    9,889.81/13,647.41 = 5,412.70/x
  3. Step 3: Cross multiply
    9,889.81x = 13,647.41 × 5,412.70
  4. Step 4: Simplify right side
    9,889.81x = 73,869,295.22
  5. Step 5: Solve for x
    x = 73,869,295.22/9,889.81
  6. Step 6: Final answer
    x = 7,469.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.