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Finding the Fourth Proportional to 9,668.08, 13,343.12 and 5,689

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Solution

The fourth proportional to 9,668.08, 13,343.12 and 5,689 is: 7,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.08 : 13,343.12 = 5,689 : x
  2. Step 2: Convert to fraction form
    9,668.08/13,343.12 = 5,689/x
  3. Step 3: Cross multiply
    9,668.08x = 13,343.12 × 5,689
  4. Step 4: Simplify right side
    9,668.08x = 75,909,009.68
  5. Step 5: Solve for x
    x = 75,909,009.68/9,668.08
  6. Step 6: Final answer
    x = 7,851.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.