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Finding the Fourth Proportional to 9,296.64, 13,951.17 and 4,917.24

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Solution

The fourth proportional to 9,296.64, 13,951.17 and 4,917.24 is: 7,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.64 : 13,951.17 = 4,917.24 : x
  2. Step 2: Convert to fraction form
    9,296.64/13,951.17 = 4,917.24/x
  3. Step 3: Cross multiply
    9,296.64x = 13,951.17 × 4,917.24
  4. Step 4: Simplify right side
    9,296.64x = 68,601,251.17
  5. Step 5: Solve for x
    x = 68,601,251.17/9,296.64
  6. Step 6: Final answer
    x = 7,379.14

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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.