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Finding the Fourth Proportional to 9,366.33, 12,927.35 and 6,013.38

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Solution

The fourth proportional to 9,366.33, 12,927.35 and 6,013.38 is: 8,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.33 : 12,927.35 = 6,013.38 : x
  2. Step 2: Convert to fraction form
    9,366.33/12,927.35 = 6,013.38/x
  3. Step 3: Cross multiply
    9,366.33x = 12,927.35 × 6,013.38
  4. Step 4: Simplify right side
    9,366.33x = 77,737,037.88
  5. Step 5: Solve for x
    x = 77,737,037.88/9,366.33
  6. Step 6: Final answer
    x = 8,299.63

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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.