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Finding the Fourth Proportional to 9,470.72, 13,069.76 and 5,279.20

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Solution

The fourth proportional to 9,470.72, 13,069.76 and 5,279.20 is: 7,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.72 : 13,069.76 = 5,279.20 : x
  2. Step 2: Convert to fraction form
    9,470.72/13,069.76 = 5,279.20/x
  3. Step 3: Cross multiply
    9,470.72x = 13,069.76 × 5,279.20
  4. Step 4: Simplify right side
    9,470.72x = 68,997,876.99
  5. Step 5: Solve for x
    x = 68,997,876.99/9,470.72
  6. Step 6: Final answer
    x = 7,285.39

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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.