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Finding the Fourth Proportional to 12,002.96, 16,561.44 and 6,964.26

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Solution

The fourth proportional to 12,002.96, 16,561.44 and 6,964.26 is: 9,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.96 : 16,561.44 = 6,964.26 : x
  2. Step 2: Convert to fraction form
    12,002.96/16,561.44 = 6,964.26/x
  3. Step 3: Cross multiply
    12,002.96x = 16,561.44 × 6,964.26
  4. Step 4: Simplify right side
    12,002.96x = 115,338,174.13
  5. Step 5: Solve for x
    x = 115,338,174.13/12,002.96
  6. Step 6: Final answer
    x = 9,609.14

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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.