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Finding the Fourth Proportional to 9,716.52, 13,408.78 and 5,300.52

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Solution

The fourth proportional to 9,716.52, 13,408.78 and 5,300.52 is: 7,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.52 : 13,408.78 = 5,300.52 : x
  2. Step 2: Convert to fraction form
    9,716.52/13,408.78 = 5,300.52/x
  3. Step 3: Cross multiply
    9,716.52x = 13,408.78 × 5,300.52
  4. Step 4: Simplify right side
    9,716.52x = 71,073,506.57
  5. Step 5: Solve for x
    x = 71,073,506.57/9,716.52
  6. Step 6: Final answer
    x = 7,314.71

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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.