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Finding the Fourth Proportional to 9,358.28, 12,913.38 and 5,165.48

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Solution

The fourth proportional to 9,358.28, 12,913.38 and 5,165.48 is: 7,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.28 : 12,913.38 = 5,165.48 : x
  2. Step 2: Convert to fraction form
    9,358.28/12,913.38 = 5,165.48/x
  3. Step 3: Cross multiply
    9,358.28x = 12,913.38 × 5,165.48
  4. Step 4: Simplify right side
    9,358.28x = 66,703,806.12
  5. Step 5: Solve for x
    x = 66,703,806.12/9,358.28
  6. Step 6: Final answer
    x = 7,127.78

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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.