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Finding the Fourth Proportional to 9,991.83, 13,787.15 and 5,742.07

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Solution

The fourth proportional to 9,991.83, 13,787.15 and 5,742.07 is: 7,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.83 : 13,787.15 = 5,742.07 : x
  2. Step 2: Convert to fraction form
    9,991.83/13,787.15 = 5,742.07/x
  3. Step 3: Cross multiply
    9,991.83x = 13,787.15 × 5,742.07
  4. Step 4: Simplify right side
    9,991.83x = 79,166,749.52
  5. Step 5: Solve for x
    x = 79,166,749.52/9,991.83
  6. Step 6: Final answer
    x = 7,923.15

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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.