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Finding the Fourth Proportional to 6,338.09, 8,748.89 and 3,820.29

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Solution

The fourth proportional to 6,338.09, 8,748.89 and 3,820.29 is: 5,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.09 : 8,748.89 = 3,820.29 : x
  2. Step 2: Convert to fraction form
    6,338.09/8,748.89 = 3,820.29/x
  3. Step 3: Cross multiply
    6,338.09x = 8,748.89 × 3,820.29
  4. Step 4: Simplify right side
    6,338.09x = 33,423,277.88
  5. Step 5: Solve for x
    x = 33,423,277.88/6,338.09
  6. Step 6: Final answer
    x = 5,273.40

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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.