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Finding the Fourth Proportional to 9,664.72, 14,491 and 4,114.60

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Solution

The fourth proportional to 9,664.72, 14,491 and 4,114.60 is: 6,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.72 : 14,491 = 4,114.60 : x
  2. Step 2: Convert to fraction form
    9,664.72/14,491 = 4,114.60/x
  3. Step 3: Cross multiply
    9,664.72x = 14,491 × 4,114.60
  4. Step 4: Simplify right side
    9,664.72x = 59,624,668.60
  5. Step 5: Solve for x
    x = 59,624,668.60/9,664.72
  6. Step 6: Final answer
    x = 6,169.31

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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.