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Finding the Fourth Proportional to 10,496.72, 14,489.40 and 6,961.12

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Solution

The fourth proportional to 10,496.72, 14,489.40 and 6,961.12 is: 9,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.72 : 14,489.40 = 6,961.12 : x
  2. Step 2: Convert to fraction form
    10,496.72/14,489.40 = 6,961.12/x
  3. Step 3: Cross multiply
    10,496.72x = 14,489.40 × 6,961.12
  4. Step 4: Simplify right side
    10,496.72x = 100,862,452.13
  5. Step 5: Solve for x
    x = 100,862,452.13/10,496.72
  6. Step 6: Final answer
    x = 9,608.95

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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.