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Finding the Fourth Proportional to 6,785.63, 9,364.71 and 3,991.67

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Solution

The fourth proportional to 6,785.63, 9,364.71 and 3,991.67 is: 5,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.63 : 9,364.71 = 3,991.67 : x
  2. Step 2: Convert to fraction form
    6,785.63/9,364.71 = 3,991.67/x
  3. Step 3: Cross multiply
    6,785.63x = 9,364.71 × 3,991.67
  4. Step 4: Simplify right side
    6,785.63x = 37,380,765.18
  5. Step 5: Solve for x
    x = 37,380,765.18/6,785.63
  6. Step 6: Final answer
    x = 5,508.82

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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.