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Finding the Fourth Proportional to 10,092.96, 13,927.68 and 6,943.68

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Solution

The fourth proportional to 10,092.96, 13,927.68 and 6,943.68 is: 9,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.96 : 13,927.68 = 6,943.68 : x
  2. Step 2: Convert to fraction form
    10,092.96/13,927.68 = 6,943.68/x
  3. Step 3: Cross multiply
    10,092.96x = 13,927.68 × 6,943.68
  4. Step 4: Simplify right side
    10,092.96x = 96,709,353.06
  5. Step 5: Solve for x
    x = 96,709,353.06/10,092.96
  6. Step 6: Final answer
    x = 9,581.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.