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Finding the Fourth Proportional to 9,366.28, 14,064.46 and 6,208.57

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Solution

The fourth proportional to 9,366.28, 14,064.46 and 6,208.57 is: 9,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.28 : 14,064.46 = 6,208.57 : x
  2. Step 2: Convert to fraction form
    9,366.28/14,064.46 = 6,208.57/x
  3. Step 3: Cross multiply
    9,366.28x = 14,064.46 × 6,208.57
  4. Step 4: Simplify right side
    9,366.28x = 87,320,243.50
  5. Step 5: Solve for x
    x = 87,320,243.50/9,366.28
  6. Step 6: Final answer
    x = 9,322.83

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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.