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Finding the Fourth Proportional to 9,199.72, 12,696.74 and 6,069.96

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Solution

The fourth proportional to 9,199.72, 12,696.74 and 6,069.96 is: 8,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.72 : 12,696.74 = 6,069.96 : x
  2. Step 2: Convert to fraction form
    9,199.72/12,696.74 = 6,069.96/x
  3. Step 3: Cross multiply
    9,199.72x = 12,696.74 × 6,069.96
  4. Step 4: Simplify right side
    9,199.72x = 77,068,703.93
  5. Step 5: Solve for x
    x = 77,068,703.93/9,199.72
  6. Step 6: Final answer
    x = 8,377.29

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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.