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Finding the Fourth Proportional to 9,668.52, 14,504.82 and 4,122.03

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Solution

The fourth proportional to 9,668.52, 14,504.82 and 4,122.03 is: 6,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.52 : 14,504.82 = 4,122.03 : x
  2. Step 2: Convert to fraction form
    9,668.52/14,504.82 = 4,122.03/x
  3. Step 3: Cross multiply
    9,668.52x = 14,504.82 × 4,122.03
  4. Step 4: Simplify right side
    9,668.52x = 59,789,303.18
  5. Step 5: Solve for x
    x = 59,789,303.18/9,668.52
  6. Step 6: Final answer
    x = 6,183.91

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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.