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Finding the Fourth Proportional to 6,327.77, 9,489.02 and 2,166.93

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Solution

The fourth proportional to 6,327.77, 9,489.02 and 2,166.93 is: 3,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.77 : 9,489.02 = 2,166.93 : x
  2. Step 2: Convert to fraction form
    6,327.77/9,489.02 = 2,166.93/x
  3. Step 3: Cross multiply
    6,327.77x = 9,489.02 × 2,166.93
  4. Step 4: Simplify right side
    6,327.77x = 20,562,031.27
  5. Step 5: Solve for x
    x = 20,562,031.27/6,327.77
  6. Step 6: Final answer
    x = 3,249.49

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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.