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Finding the Fourth Proportional to 9,179.68, 12,668.66 and 5,200.69

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Solution

The fourth proportional to 9,179.68, 12,668.66 and 5,200.69 is: 7,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.68 : 12,668.66 = 5,200.69 : x
  2. Step 2: Convert to fraction form
    9,179.68/12,668.66 = 5,200.69/x
  3. Step 3: Cross multiply
    9,179.68x = 12,668.66 × 5,200.69
  4. Step 4: Simplify right side
    9,179.68x = 65,885,773.38
  5. Step 5: Solve for x
    x = 65,885,773.38/9,179.68
  6. Step 6: Final answer
    x = 7,177.35

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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.