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Finding the Fourth Proportional to 9,619.16, 13,273.07 and 5,369.90

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Solution

The fourth proportional to 9,619.16, 13,273.07 and 5,369.90 is: 7,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.16 : 13,273.07 = 5,369.90 : x
  2. Step 2: Convert to fraction form
    9,619.16/13,273.07 = 5,369.90/x
  3. Step 3: Cross multiply
    9,619.16x = 13,273.07 × 5,369.90
  4. Step 4: Simplify right side
    9,619.16x = 71,274,965.38
  5. Step 5: Solve for x
    x = 71,274,965.38/9,619.16
  6. Step 6: Final answer
    x = 7,409.69

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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.