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Finding the Fourth Proportional to 9,628.72, 13,291.49 and 6,274.41

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Solution

The fourth proportional to 9,628.72, 13,291.49 and 6,274.41 is: 8,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.72 : 13,291.49 = 6,274.41 : x
  2. Step 2: Convert to fraction form
    9,628.72/13,291.49 = 6,274.41/x
  3. Step 3: Cross multiply
    9,628.72x = 13,291.49 × 6,274.41
  4. Step 4: Simplify right side
    9,628.72x = 83,396,298.38
  5. Step 5: Solve for x
    x = 83,396,298.38/9,628.72
  6. Step 6: Final answer
    x = 8,661.20

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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.