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Finding the Fourth Proportional to 9,680.91, 13,361.85 and 6,660.06

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Solution

The fourth proportional to 9,680.91, 13,361.85 and 6,660.06 is: 9,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.91 : 13,361.85 = 6,660.06 : x
  2. Step 2: Convert to fraction form
    9,680.91/13,361.85 = 6,660.06/x
  3. Step 3: Cross multiply
    9,680.91x = 13,361.85 × 6,660.06
  4. Step 4: Simplify right side
    9,680.91x = 88,990,722.71
  5. Step 5: Solve for x
    x = 88,990,722.71/9,680.91
  6. Step 6: Final answer
    x = 9,192.39

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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.