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Finding the Fourth Proportional to 9,389.31, 13,016.49 and 8,889.96

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Solution

The fourth proportional to 9,389.31, 13,016.49 and 8,889.96 is: 12,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.31 : 13,016.49 = 8,889.96 : x
  2. Step 2: Convert to fraction form
    9,389.31/13,016.49 = 8,889.96/x
  3. Step 3: Cross multiply
    9,389.31x = 13,016.49 × 8,889.96
  4. Step 4: Simplify right side
    9,389.31x = 115,716,075.44
  5. Step 5: Solve for x
    x = 115,716,075.44/9,389.31
  6. Step 6: Final answer
    x = 12,324.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.