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Finding the Fourth Proportional to 12,002.01, 16,558.32 and 6,965.43

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Solution

The fourth proportional to 12,002.01, 16,558.32 and 6,965.43 is: 9,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.01 : 16,558.32 = 6,965.43 : x
  2. Step 2: Convert to fraction form
    12,002.01/16,558.32 = 6,965.43/x
  3. Step 3: Cross multiply
    12,002.01x = 16,558.32 × 6,965.43
  4. Step 4: Simplify right side
    12,002.01x = 115,335,818.88
  5. Step 5: Solve for x
    x = 115,335,818.88/12,002.01
  6. Step 6: Final answer
    x = 9,609.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.