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Finding the Fourth Proportional to 9,889.36, 13,644.93 and 5,856.37

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Solution

The fourth proportional to 9,889.36, 13,644.93 and 5,856.37 is: 8,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.36 : 13,644.93 = 5,856.37 : x
  2. Step 2: Convert to fraction form
    9,889.36/13,644.93 = 5,856.37/x
  3. Step 3: Cross multiply
    9,889.36x = 13,644.93 × 5,856.37
  4. Step 4: Simplify right side
    9,889.36x = 79,909,758.70
  5. Step 5: Solve for x
    x = 79,909,758.70/9,889.36
  6. Step 6: Final answer
    x = 8,080.38

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Why These Related Problems?

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