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Finding the Fourth Proportional to 6,039.36, 9,042.48 and 5,109.84

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Solution

The fourth proportional to 6,039.36, 9,042.48 and 5,109.84 is: 7,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039.36 : 9,042.48 = 5,109.84 : x
  2. Step 2: Convert to fraction form
    6,039.36/9,042.48 = 5,109.84/x
  3. Step 3: Cross multiply
    6,039.36x = 9,042.48 × 5,109.84
  4. Step 4: Simplify right side
    6,039.36x = 46,205,626.00
  5. Step 5: Solve for x
    x = 46,205,626.00/6,039.36
  6. Step 6: Final answer
    x = 7,650.75

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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.