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Finding the Fourth Proportional to 6,810.20, 9,396.66 and 4,014.20

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Solution

The fourth proportional to 6,810.20, 9,396.66 and 4,014.20 is: 5,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.20 : 9,396.66 = 4,014.20 : x
  2. Step 2: Convert to fraction form
    6,810.20/9,396.66 = 4,014.20/x
  3. Step 3: Cross multiply
    6,810.20x = 9,396.66 × 4,014.20
  4. Step 4: Simplify right side
    6,810.20x = 37,720,072.57
  5. Step 5: Solve for x
    x = 37,720,072.57/6,810.20
  6. Step 6: Final answer
    x = 5,538.76

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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.