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Finding the Fourth Proportional to 9,668.04, 14,500.86 and 2,743.08

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Solution

The fourth proportional to 9,668.04, 14,500.86 and 2,743.08 is: 4,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.04 : 14,500.86 = 2,743.08 : x
  2. Step 2: Convert to fraction form
    9,668.04/14,500.86 = 2,743.08/x
  3. Step 3: Cross multiply
    9,668.04x = 14,500.86 × 2,743.08
  4. Step 4: Simplify right side
    9,668.04x = 39,777,019.05
  5. Step 5: Solve for x
    x = 39,777,019.05/9,668.04
  6. Step 6: Final answer
    x = 4,114.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.