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Finding the Fourth Proportional to 6,093.79, 9,135.28 and 2,972.05

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Solution

The fourth proportional to 6,093.79, 9,135.28 and 2,972.05 is: 4,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.79 : 9,135.28 = 2,972.05 : x
  2. Step 2: Convert to fraction form
    6,093.79/9,135.28 = 2,972.05/x
  3. Step 3: Cross multiply
    6,093.79x = 9,135.28 × 2,972.05
  4. Step 4: Simplify right side
    6,093.79x = 27,150,508.92
  5. Step 5: Solve for x
    x = 27,150,508.92/6,093.79
  6. Step 6: Final answer
    x = 4,455.44

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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.