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Finding the Fourth Proportional to 6,805.59, 9,387.19 and 4,115.05

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Solution

The fourth proportional to 6,805.59, 9,387.19 and 4,115.05 is: 5,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.59 : 9,387.19 = 4,115.05 : x
  2. Step 2: Convert to fraction form
    6,805.59/9,387.19 = 4,115.05/x
  3. Step 3: Cross multiply
    6,805.59x = 9,387.19 × 4,115.05
  4. Step 4: Simplify right side
    6,805.59x = 38,628,756.21
  5. Step 5: Solve for x
    x = 38,628,756.21/6,805.59
  6. Step 6: Final answer
    x = 5,676.03

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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.