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Finding the Fourth Proportional to 6,910.02, 9,535.14 and 3,884.82

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Solution

The fourth proportional to 6,910.02, 9,535.14 and 3,884.82 is: 5,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.02 : 9,535.14 = 3,884.82 : x
  2. Step 2: Convert to fraction form
    6,910.02/9,535.14 = 3,884.82/x
  3. Step 3: Cross multiply
    6,910.02x = 9,535.14 × 3,884.82
  4. Step 4: Simplify right side
    6,910.02x = 37,042,302.57
  5. Step 5: Solve for x
    x = 37,042,302.57/6,910.02
  6. Step 6: Final answer
    x = 5,360.67

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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.