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Finding the Fourth Proportional to 9,668.10, 14,499.78 and 3,743.04

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Solution

The fourth proportional to 9,668.10, 14,499.78 and 3,743.04 is: 5,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.10 : 14,499.78 = 3,743.04 : x
  2. Step 2: Convert to fraction form
    9,668.10/14,499.78 = 3,743.04/x
  3. Step 3: Cross multiply
    9,668.10x = 14,499.78 × 3,743.04
  4. Step 4: Simplify right side
    9,668.10x = 54,273,256.53
  5. Step 5: Solve for x
    x = 54,273,256.53/9,668.10
  6. Step 6: Final answer
    x = 5,613.64

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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.