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Finding the Fourth Proportional to 9,879.52, 13,633.68 and 5,403.20

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Solution

The fourth proportional to 9,879.52, 13,633.68 and 5,403.20 is: 7,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.52 : 13,633.68 = 5,403.20 : x
  2. Step 2: Convert to fraction form
    9,879.52/13,633.68 = 5,403.20/x
  3. Step 3: Cross multiply
    9,879.52x = 13,633.68 × 5,403.20
  4. Step 4: Simplify right side
    9,879.52x = 73,665,499.78
  5. Step 5: Solve for x
    x = 73,665,499.78/9,879.52
  6. Step 6: Final answer
    x = 7,456.38

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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.