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Finding the Fourth Proportional to 9,550.68, 14,326 and 5,388.80

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Solution

The fourth proportional to 9,550.68, 14,326 and 5,388.80 is: 8,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.68 : 14,326 = 5,388.80 : x
  2. Step 2: Convert to fraction form
    9,550.68/14,326 = 5,388.80/x
  3. Step 3: Cross multiply
    9,550.68x = 14,326 × 5,388.80
  4. Step 4: Simplify right side
    9,550.68x = 77,199,948.80
  5. Step 5: Solve for x
    x = 77,199,948.80/9,550.68
  6. Step 6: Final answer
    x = 8,083.19

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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.