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Finding the Fourth Proportional to 9,819, 13,550.22 and 5,629.68

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Solution

The fourth proportional to 9,819, 13,550.22 and 5,629.68 is: 7,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819 : 13,550.22 = 5,629.68 : x
  2. Step 2: Convert to fraction form
    9,819/13,550.22 = 5,629.68/x
  3. Step 3: Cross multiply
    9,819x = 13,550.22 × 5,629.68
  4. Step 4: Simplify right side
    9,819x = 76,283,402.53
  5. Step 5: Solve for x
    x = 76,283,402.53/9,819
  6. Step 6: Final answer
    x = 7,768.96

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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.