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Finding the Fourth Proportional to 9,923.20, 14,873.92 and 4,078.24

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Solution

The fourth proportional to 9,923.20, 14,873.92 and 4,078.24 is: 6,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.20 : 14,873.92 = 4,078.24 : x
  2. Step 2: Convert to fraction form
    9,923.20/14,873.92 = 4,078.24/x
  3. Step 3: Cross multiply
    9,923.20x = 14,873.92 × 4,078.24
  4. Step 4: Simplify right side
    9,923.20x = 60,659,415.50
  5. Step 5: Solve for x
    x = 60,659,415.50/9,923.20
  6. Step 6: Final answer
    x = 6,112.89

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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.