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Finding the Fourth Proportional to 9,042.54, 13,568.16 and 3,201.90

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Solution

The fourth proportional to 9,042.54, 13,568.16 and 3,201.90 is: 4,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.54 : 13,568.16 = 3,201.90 : x
  2. Step 2: Convert to fraction form
    9,042.54/13,568.16 = 3,201.90/x
  3. Step 3: Cross multiply
    9,042.54x = 13,568.16 × 3,201.90
  4. Step 4: Simplify right side
    9,042.54x = 43,443,891.50
  5. Step 5: Solve for x
    x = 43,443,891.50/9,042.54
  6. Step 6: Final answer
    x = 4,804.39

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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.