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Finding the Fourth Proportional to 9,224.00, 13,849.84 and 5,279.72

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Solution

The fourth proportional to 9,224.00, 13,849.84 and 5,279.72 is: 7,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.00 : 13,849.84 = 5,279.72 : x
  2. Step 2: Convert to fraction form
    9,224.00/13,849.84 = 5,279.72/x
  3. Step 3: Cross multiply
    9,224.00x = 13,849.84 × 5,279.72
  4. Step 4: Simplify right side
    9,224.00x = 73,123,214.60
  5. Step 5: Solve for x
    x = 73,123,214.60/9,224.00
  6. Step 6: Final answer
    x = 7,927.50

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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.