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Finding the Fourth Proportional to 9,326, 13,993.32 and 4,945.52

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Solution

The fourth proportional to 9,326, 13,993.32 and 4,945.52 is: 7,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326 : 13,993.32 = 4,945.52 : x
  2. Step 2: Convert to fraction form
    9,326/13,993.32 = 4,945.52/x
  3. Step 3: Cross multiply
    9,326x = 13,993.32 × 4,945.52
  4. Step 4: Simplify right side
    9,326x = 69,204,243.93
  5. Step 5: Solve for x
    x = 69,204,243.93/9,326
  6. Step 6: Final answer
    x = 7,420.57

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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.