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Finding the Fourth Proportional to 9,991.76, 13,787.01 and 5,741.99

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Solution

The fourth proportional to 9,991.76, 13,787.01 and 5,741.99 is: 7,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.76 : 13,787.01 = 5,741.99 : x
  2. Step 2: Convert to fraction form
    9,991.76/13,787.01 = 5,741.99/x
  3. Step 3: Cross multiply
    9,991.76x = 13,787.01 × 5,741.99
  4. Step 4: Simplify right side
    9,991.76x = 79,164,856.32
  5. Step 5: Solve for x
    x = 79,164,856.32/9,991.76
  6. Step 6: Final answer
    x = 7,923.02

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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.