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Finding the Fourth Proportional to 9,251.64, 13,889.79 and 7,873.83

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Solution

The fourth proportional to 9,251.64, 13,889.79 and 7,873.83 is: 11,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.64 : 13,889.79 = 7,873.83 : x
  2. Step 2: Convert to fraction form
    9,251.64/13,889.79 = 7,873.83/x
  3. Step 3: Cross multiply
    9,251.64x = 13,889.79 × 7,873.83
  4. Step 4: Simplify right side
    9,251.64x = 109,365,845.20
  5. Step 5: Solve for x
    x = 109,365,845.20/9,251.64
  6. Step 6: Final answer
    x = 11,821.24

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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.