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Finding the Fourth Proportional to 9,668.34, 14,504.67 and 3,094.92

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Solution

The fourth proportional to 9,668.34, 14,504.67 and 3,094.92 is: 4,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.34 : 14,504.67 = 3,094.92 : x
  2. Step 2: Convert to fraction form
    9,668.34/14,504.67 = 3,094.92/x
  3. Step 3: Cross multiply
    9,668.34x = 14,504.67 × 3,094.92
  4. Step 4: Simplify right side
    9,668.34x = 44,890,793.28
  5. Step 5: Solve for x
    x = 44,890,793.28/9,668.34
  6. Step 6: Final answer
    x = 4,643.07

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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.