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Finding the Fourth Proportional to 9,706.44, 14,563.32 and 5,813.64

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Solution

The fourth proportional to 9,706.44, 14,563.32 and 5,813.64 is: 8,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.44 : 14,563.32 = 5,813.64 : x
  2. Step 2: Convert to fraction form
    9,706.44/14,563.32 = 5,813.64/x
  3. Step 3: Cross multiply
    9,706.44x = 14,563.32 × 5,813.64
  4. Step 4: Simplify right side
    9,706.44x = 84,665,899.68
  5. Step 5: Solve for x
    x = 84,665,899.68/9,706.44
  6. Step 6: Final answer
    x = 8,722.65

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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.