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Finding the Fourth Proportional to 9,668.46, 14,504.06 and 3,093.80

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Solution

The fourth proportional to 9,668.46, 14,504.06 and 3,093.80 is: 4,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.46 : 14,504.06 = 3,093.80 : x
  2. Step 2: Convert to fraction form
    9,668.46/14,504.06 = 3,093.80/x
  3. Step 3: Cross multiply
    9,668.46x = 14,504.06 × 3,093.80
  4. Step 4: Simplify right side
    9,668.46x = 44,872,596.04
  5. Step 5: Solve for x
    x = 44,872,596.04/9,668.46
  6. Step 6: Final answer
    x = 4,641.13

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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.