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Finding the Fourth Proportional to 9,068.76, 13,605.24 and 2,828.44

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Solution

The fourth proportional to 9,068.76, 13,605.24 and 2,828.44 is: 4,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.76 : 13,605.24 = 2,828.44 : x
  2. Step 2: Convert to fraction form
    9,068.76/13,605.24 = 2,828.44/x
  3. Step 3: Cross multiply
    9,068.76x = 13,605.24 × 2,828.44
  4. Step 4: Simplify right side
    9,068.76x = 38,481,605.03
  5. Step 5: Solve for x
    x = 38,481,605.03/9,068.76
  6. Step 6: Final answer
    x = 4,243.31

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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.