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Finding the Fourth Proportional to 9,861.73, 13,585.84 and 6,872.22

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Solution

The fourth proportional to 9,861.73, 13,585.84 and 6,872.22 is: 9,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.73 : 13,585.84 = 6,872.22 : x
  2. Step 2: Convert to fraction form
    9,861.73/13,585.84 = 6,872.22/x
  3. Step 3: Cross multiply
    9,861.73x = 13,585.84 × 6,872.22
  4. Step 4: Simplify right side
    9,861.73x = 93,364,881.36
  5. Step 5: Solve for x
    x = 93,364,881.36/9,861.73
  6. Step 6: Final answer
    x = 9,467.39

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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.