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Finding the Fourth Proportional to 10,094.96, 13,930.44 and 6,945.68

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Solution

The fourth proportional to 10,094.96, 13,930.44 and 6,945.68 is: 9,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.96 : 13,930.44 = 6,945.68 : x
  2. Step 2: Convert to fraction form
    10,094.96/13,930.44 = 6,945.68/x
  3. Step 3: Cross multiply
    10,094.96x = 13,930.44 × 6,945.68
  4. Step 4: Simplify right side
    10,094.96x = 96,756,378.50
  5. Step 5: Solve for x
    x = 96,756,378.50/10,094.96
  6. Step 6: Final answer
    x = 9,584.62

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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.