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Finding the Fourth Proportional to 9,656.26, 14,484.24 and 3,082.41

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Solution

The fourth proportional to 9,656.26, 14,484.24 and 3,082.41 is: 4,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.26 : 14,484.24 = 3,082.41 : x
  2. Step 2: Convert to fraction form
    9,656.26/14,484.24 = 3,082.41/x
  3. Step 3: Cross multiply
    9,656.26x = 14,484.24 × 3,082.41
  4. Step 4: Simplify right side
    9,656.26x = 44,646,293.80
  5. Step 5: Solve for x
    x = 44,646,293.80/9,656.26
  6. Step 6: Final answer
    x = 4,623.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.