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Finding the Fourth Proportional to 9,279.26, 13,918.26 and 4,350

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Solution

The fourth proportional to 9,279.26, 13,918.26 and 4,350 is: 6,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.26 : 13,918.26 = 4,350 : x
  2. Step 2: Convert to fraction form
    9,279.26/13,918.26 = 4,350/x
  3. Step 3: Cross multiply
    9,279.26x = 13,918.26 × 4,350
  4. Step 4: Simplify right side
    9,279.26x = 60,544,431
  5. Step 5: Solve for x
    x = 60,544,431/9,279.26
  6. Step 6: Final answer
    x = 6,524.70

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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.