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Finding the Fourth Proportional to 9,668.89, 14,508.80 and 4,121.65

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Solution

The fourth proportional to 9,668.89, 14,508.80 and 4,121.65 is: 6,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.89 : 14,508.80 = 4,121.65 : x
  2. Step 2: Convert to fraction form
    9,668.89/14,508.80 = 4,121.65/x
  3. Step 3: Cross multiply
    9,668.89x = 14,508.80 × 4,121.65
  4. Step 4: Simplify right side
    9,668.89x = 59,800,195.52
  5. Step 5: Solve for x
    x = 59,800,195.52/9,668.89
  6. Step 6: Final answer
    x = 6,184.80

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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.