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Finding the Fourth Proportional to 9,167.67, 13,724.42 and 6,837.89

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Solution

The fourth proportional to 9,167.67, 13,724.42 and 6,837.89 is: 10,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.67 : 13,724.42 = 6,837.89 : x
  2. Step 2: Convert to fraction form
    9,167.67/13,724.42 = 6,837.89/x
  3. Step 3: Cross multiply
    9,167.67x = 13,724.42 × 6,837.89
  4. Step 4: Simplify right side
    9,167.67x = 93,845,971.46
  5. Step 5: Solve for x
    x = 93,845,971.46/9,167.67
  6. Step 6: Final answer
    x = 10,236.62

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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.