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Finding the Fourth Proportional to 9,619.86, 14,431.31 and 4,073.24

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Solution

The fourth proportional to 9,619.86, 14,431.31 and 4,073.24 is: 6,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.86 : 14,431.31 = 4,073.24 : x
  2. Step 2: Convert to fraction form
    9,619.86/14,431.31 = 4,073.24/x
  3. Step 3: Cross multiply
    9,619.86x = 14,431.31 × 4,073.24
  4. Step 4: Simplify right side
    9,619.86x = 58,782,189.14
  5. Step 5: Solve for x
    x = 58,782,189.14/9,619.86
  6. Step 6: Final answer
    x = 6,110.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.