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Finding the Fourth Proportional to 9,092.48, 13,645.44 and 6,776.96

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Solution

The fourth proportional to 9,092.48, 13,645.44 and 6,776.96 is: 10,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.48 : 13,645.44 = 6,776.96 : x
  2. Step 2: Convert to fraction form
    9,092.48/13,645.44 = 6,776.96/x
  3. Step 3: Cross multiply
    9,092.48x = 13,645.44 × 6,776.96
  4. Step 4: Simplify right side
    9,092.48x = 92,474,601.06
  5. Step 5: Solve for x
    x = 92,474,601.06/9,092.48
  6. Step 6: Final answer
    x = 10,170.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.