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Finding the Fourth Proportional to 10,104.92, 13,946.94 and 6,791

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Solution

The fourth proportional to 10,104.92, 13,946.94 and 6,791 is: 9,373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.92 : 13,946.94 = 6,791 : x
  2. Step 2: Convert to fraction form
    10,104.92/13,946.94 = 6,791/x
  3. Step 3: Cross multiply
    10,104.92x = 13,946.94 × 6,791
  4. Step 4: Simplify right side
    10,104.92x = 94,713,669.54
  5. Step 5: Solve for x
    x = 94,713,669.54/10,104.92
  6. Step 6: Final answer
    x = 9,373.03

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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.