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Finding the Fourth Proportional to 12,554.12, 17,325.06 and 6,965

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Solution

The fourth proportional to 12,554.12, 17,325.06 and 6,965 is: 9,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554.12 : 17,325.06 = 6,965 : x
  2. Step 2: Convert to fraction form
    12,554.12/17,325.06 = 6,965/x
  3. Step 3: Cross multiply
    12,554.12x = 17,325.06 × 6,965
  4. Step 4: Simplify right side
    12,554.12x = 120,669,042.90
  5. Step 5: Solve for x
    x = 120,669,042.90/12,554.12
  6. Step 6: Final answer
    x = 9,611.91

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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.