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Finding the Fourth Proportional to 9,879.74, 13,634.01 and 5,342.39

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Solution

The fourth proportional to 9,879.74, 13,634.01 and 5,342.39 is: 7,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.74 : 13,634.01 = 5,342.39 : x
  2. Step 2: Convert to fraction form
    9,879.74/13,634.01 = 5,342.39/x
  3. Step 3: Cross multiply
    9,879.74x = 13,634.01 × 5,342.39
  4. Step 4: Simplify right side
    9,879.74x = 72,838,137.89
  5. Step 5: Solve for x
    x = 72,838,137.89/9,879.74
  6. Step 6: Final answer
    x = 7,372.48

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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.