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Finding the Fourth Proportional to 9,991.54, 13,787.85 and 5,739.67

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Solution

The fourth proportional to 9,991.54, 13,787.85 and 5,739.67 is: 7,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.54 : 13,787.85 = 5,739.67 : x
  2. Step 2: Convert to fraction form
    9,991.54/13,787.85 = 5,739.67/x
  3. Step 3: Cross multiply
    9,991.54x = 13,787.85 × 5,739.67
  4. Step 4: Simplify right side
    9,991.54x = 79,137,709.01
  5. Step 5: Solve for x
    x = 79,137,709.01/9,991.54
  6. Step 6: Final answer
    x = 7,920.47

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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.