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Finding the Fourth Proportional to 9,992.49, 13,790.05 and 5,744.89

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Solution

The fourth proportional to 9,992.49, 13,790.05 and 5,744.89 is: 7,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.49 : 13,790.05 = 5,744.89 : x
  2. Step 2: Convert to fraction form
    9,992.49/13,790.05 = 5,744.89/x
  3. Step 3: Cross multiply
    9,992.49x = 13,790.05 × 5,744.89
  4. Step 4: Simplify right side
    9,992.49x = 79,222,320.34
  5. Step 5: Solve for x
    x = 79,222,320.34/9,992.49
  6. Step 6: Final answer
    x = 7,928.19

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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.