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Finding the Fourth Proportional to 9,142.74, 13,709.52 and 3,591.81

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Solution

The fourth proportional to 9,142.74, 13,709.52 and 3,591.81 is: 5,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.74 : 13,709.52 = 3,591.81 : x
  2. Step 2: Convert to fraction form
    9,142.74/13,709.52 = 3,591.81/x
  3. Step 3: Cross multiply
    9,142.74x = 13,709.52 × 3,591.81
  4. Step 4: Simplify right side
    9,142.74x = 49,241,991.03
  5. Step 5: Solve for x
    x = 49,241,991.03/9,142.74
  6. Step 6: Final answer
    x = 5,385.91

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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.