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Finding the Fourth Proportional to 9,996, 13,794.48 and 5,804.52

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Solution

The fourth proportional to 9,996, 13,794.48 and 5,804.52 is: 8,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996 : 13,794.48 = 5,804.52 : x
  2. Step 2: Convert to fraction form
    9,996/13,794.48 = 5,804.52/x
  3. Step 3: Cross multiply
    9,996x = 13,794.48 × 5,804.52
  4. Step 4: Simplify right side
    9,996x = 80,070,335.05
  5. Step 5: Solve for x
    x = 80,070,335.05/9,996
  6. Step 6: Final answer
    x = 8,010.24

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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.