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Finding the Fourth Proportional to 12,553.36, 17,322.96 and 6,964

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Solution

The fourth proportional to 12,553.36, 17,322.96 and 6,964 is: 9,609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.36 : 17,322.96 = 6,964 : x
  2. Step 2: Convert to fraction form
    12,553.36/17,322.96 = 6,964/x
  3. Step 3: Cross multiply
    12,553.36x = 17,322.96 × 6,964
  4. Step 4: Simplify right side
    12,553.36x = 120,637,093.44
  5. Step 5: Solve for x
    x = 120,637,093.44/12,553.36
  6. Step 6: Final answer
    x = 9,609.94

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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.