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Finding the Fourth Proportional to 12,549.36, 17,317.44 and 6,960

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Solution

The fourth proportional to 12,549.36, 17,317.44 and 6,960 is: 9,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.36 : 17,317.44 = 6,960 : x
  2. Step 2: Convert to fraction form
    12,549.36/17,317.44 = 6,960/x
  3. Step 3: Cross multiply
    12,549.36x = 17,317.44 × 6,960
  4. Step 4: Simplify right side
    12,549.36x = 120,529,382.40
  5. Step 5: Solve for x
    x = 120,529,382.40/12,549.36
  6. Step 6: Final answer
    x = 9,604.42

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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.