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Finding the Fourth Proportional to 6,873.18, 9,485.91 and 4,078.86

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Solution

The fourth proportional to 6,873.18, 9,485.91 and 4,078.86 is: 5,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.18 : 9,485.91 = 4,078.86 : x
  2. Step 2: Convert to fraction form
    6,873.18/9,485.91 = 4,078.86/x
  3. Step 3: Cross multiply
    6,873.18x = 9,485.91 × 4,078.86
  4. Step 4: Simplify right side
    6,873.18x = 38,691,698.86
  5. Step 5: Solve for x
    x = 38,691,698.86/6,873.18
  6. Step 6: Final answer
    x = 5,629.37

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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.