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Finding the Fourth Proportional to 9,866.88, 13,616.38 and 5,390.56

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Solution

The fourth proportional to 9,866.88, 13,616.38 and 5,390.56 is: 7,439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.88 : 13,616.38 = 5,390.56 : x
  2. Step 2: Convert to fraction form
    9,866.88/13,616.38 = 5,390.56/x
  3. Step 3: Cross multiply
    9,866.88x = 13,616.38 × 5,390.56
  4. Step 4: Simplify right side
    9,866.88x = 73,399,913.37
  5. Step 5: Solve for x
    x = 73,399,913.37/9,866.88
  6. Step 6: Final answer
    x = 7,439.02

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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.