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Finding the Fourth Proportional to 9,632, 13,292.16 and 5,216

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Solution

The fourth proportional to 9,632, 13,292.16 and 5,216 is: 7,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632 : 13,292.16 = 5,216 : x
  2. Step 2: Convert to fraction form
    9,632/13,292.16 = 5,216/x
  3. Step 3: Cross multiply
    9,632x = 13,292.16 × 5,216
  4. Step 4: Simplify right side
    9,632x = 69,331,906.56
  5. Step 5: Solve for x
    x = 69,331,906.56/9,632
  6. Step 6: Final answer
    x = 7,198.08

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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.