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Finding the Fourth Proportional to 9,652.41, 14,476.89 and 2,896.62

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Solution

The fourth proportional to 9,652.41, 14,476.89 and 2,896.62 is: 4,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.41 : 14,476.89 = 2,896.62 : x
  2. Step 2: Convert to fraction form
    9,652.41/14,476.89 = 2,896.62/x
  3. Step 3: Cross multiply
    9,652.41x = 14,476.89 × 2,896.62
  4. Step 4: Simplify right side
    9,652.41x = 41,934,049.11
  5. Step 5: Solve for x
    x = 41,934,049.11/9,652.41
  6. Step 6: Final answer
    x = 4,344.41

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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.