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Finding the Fourth Proportional to 9,124.96, 13,668.96 and 7,168

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Solution

The fourth proportional to 9,124.96, 13,668.96 and 7,168 is: 10,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.96 : 13,668.96 = 7,168 : x
  2. Step 2: Convert to fraction form
    9,124.96/13,668.96 = 7,168/x
  3. Step 3: Cross multiply
    9,124.96x = 13,668.96 × 7,168
  4. Step 4: Simplify right side
    9,124.96x = 97,979,105.28
  5. Step 5: Solve for x
    x = 97,979,105.28/9,124.96
  6. Step 6: Final answer
    x = 10,737.48

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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.