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Finding the Fourth Proportional to 7,104.38, 9,804.09 and 4,078.70

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Solution

The fourth proportional to 7,104.38, 9,804.09 and 4,078.70 is: 5,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.38 : 9,804.09 = 4,078.70 : x
  2. Step 2: Convert to fraction form
    7,104.38/9,804.09 = 4,078.70/x
  3. Step 3: Cross multiply
    7,104.38x = 9,804.09 × 4,078.70
  4. Step 4: Simplify right side
    7,104.38x = 39,987,892.86
  5. Step 5: Solve for x
    x = 39,987,892.86/7,104.38
  6. Step 6: Final answer
    x = 5,628.63

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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.